Groups of prime power order.: Volume 2 /
Annotation This is the second of three volumes on finite p-group theory, written by two prominent authors in the area.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; New York :
W. de Gruyter,
©2008.
|
| Schriftenreihe: | De Gruyter expositions in mathematics ;
47. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Annotation This is the second of three volumes on finite p-group theory, written by two prominent authors in the area. |
| Beschreibung: | 1 online resource (xv, 596 pages) |
| Bibliographie: | Includes bibliographical references and indexes. |
| ISBN: | 9783110208238 3110208237 1281993484 9781281993489 9786611993481 6611993487 3119162396 9783119162395 |
| ISSN: | 0938-6572 ; |
Internformat
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| 100 | 1 | |a Berkovich, Yakov. | |
| 245 | 1 | 0 | |a Groups of prime power order. |n Volume 2 / |c by Yakov Berkovich and Zvonimir Janko. |
| 260 | |a Berlin ; |a New York : |b W. de Gruyter, |c ©2008. | ||
| 300 | |a 1 online resource (xv, 596 pages) | ||
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| 490 | 1 | |a De Gruyter expositions in mathematics, |x 0938-6572 ; |v 47 | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a Annotation This is the second of three volumes on finite p-group theory, written by two prominent authors in the area. | |
| 505 | 0 | |a Frontmatter; Contents; List of definitions and notations; Preface; 46. Degrees of irreducible characters of Suzuki p-groups; 47. On the number of metacyclic epimorphic images of finite p-groups; 48. On 2-groups with small centralizer of an involution, I; 49. On 2-groups with small centralizer of an involution, II; 50. Janko's theorem on 2-groups without normal elementary abelian subgroups of order 8; 51. 2-groups with self centralizing subgroup isomorphic to E8; 52. 2-groups with 2-subgroup of small order; 53. 2-groups G with c2(G) = 4; 54. 2-groups G with cn(G) = 4, n > 2 | |
| 505 | 8 | |a 55. 2-groups G with small subgroup (x ? G -- o(x) = 2"")56. Theorem of Ward on quaternion-free 2-groups; 57. Nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic and have exponent 4; 58. Non-Dedekindian p-groups all of whose nonnormal subgroups of the same order are conjugate; 59. p-groups with few nonnormal subgroups; 60. The structure of the Burnside group of order 212; 61. Groups of exponent 4 generated by three involutions; 62. Groups with large normal closures of nonnormal cyclic subgroups | |
| 505 | 8 | |a 63. Groups all of whose cyclic subgroups of composite orders are normal64. p-groups generated by elements of given order; 65. A2-groups; 66. A new proof of Blackburn's theorem on minimal nonmetacyclic 2-groups; 67. Determination of U2-groups; 68. Characterization of groups of prime exponent; 69. Elementary proofs of some Blackburn's theorems; 70. Non-2-generator p-groups all of whose maximal subgroups are 2-generator; 71. Determination of A2-groups; 72. An-groups, n > 2; 73. Classification of modular p-groups; 74. p-groups with a cyclic subgroup of index p2 | |
| 505 | 8 | |a 75. Elements of order = 4 in p-groups76. p-groups with few A1-subgroups; 77. 2-groups with a self-centralizing abelian subgroup of type (4, 2); 78. Minimal nonmodular p-groups; 79. Nonmodular quaternion-free 2-groups; 80. Minimal non-quaternion-free 2-groups; 81. Maximal abelian subgroups in 2-groups; 82. A classification of 2-groups with exactly three involutions; 83. p-groups G with O2(G) or O2*(G) extraspecial; 84. 2-groups whose nonmetacyclic subgroups are generated by involutions; 85. 2-groups with a nonabelian Frattini subgroup of order 16 | |
| 505 | 8 | |a 86. p-groups G with metacyclic O2*(G)87. 2-groups with exactly one nonmetacyclic maximal subgroup; 88. Hall chains in normal subgroups of p-groups; 89. 2-groups with exactly six cyclic subgroups of order 4; 90. Nonabelian 2-groups all of whose minimal nonabelian subgroups are of order 8; 91. Maximal abelian subgroups of p-groups; 92. On minimal nonabelian subgroups of p-groups; Appendix 16. Some central products; Appendix 17. Alternate proofs of characterization theorems of Miller and Janko on 2-groups, and some related results; Appendix 18. Replacement theorems | |
| 546 | |a English. | ||
| 650 | 0 | |a Finite groups. |0 http://id.loc.gov/authorities/subjects/sh85048354 | |
| 650 | 0 | |a Group theory. |0 http://id.loc.gov/authorities/subjects/sh85057512 | |
| 650 | 6 | |a Groupes finis. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Finite groups |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 700 | 1 | |a Janko, Zvonimir. | |
| 758 | |i has work: |a Volume 2 Groups of prime power order (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH7p4PXYPgcXhVqBtXDHFq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Berkovich, I︠A︡. G., 1938- |t Groups of prime power order. Volume 2. |d Berlin ; New York : W. de Gruyter, ©2008 |z 9783110204186 |
| 830 | 0 | |a De Gruyter expositions in mathematics ; |v 47. |x 0938-6572 |0 http://id.loc.gov/authorities/names/n90653843 | |
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| contents | Frontmatter; Contents; List of definitions and notations; Preface; 46. Degrees of irreducible characters of Suzuki p-groups; 47. On the number of metacyclic epimorphic images of finite p-groups; 48. On 2-groups with small centralizer of an involution, I; 49. On 2-groups with small centralizer of an involution, II; 50. Janko's theorem on 2-groups without normal elementary abelian subgroups of order 8; 51. 2-groups with self centralizing subgroup isomorphic to E8; 52. 2-groups with 2-subgroup of small order; 53. 2-groups G with c2(G) = 4; 54. 2-groups G with cn(G) = 4, n > 2 55. 2-groups G with small subgroup (x ? G -- o(x) = 2"")56. Theorem of Ward on quaternion-free 2-groups; 57. Nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic and have exponent 4; 58. Non-Dedekindian p-groups all of whose nonnormal subgroups of the same order are conjugate; 59. p-groups with few nonnormal subgroups; 60. The structure of the Burnside group of order 212; 61. Groups of exponent 4 generated by three involutions; 62. Groups with large normal closures of nonnormal cyclic subgroups 63. Groups all of whose cyclic subgroups of composite orders are normal64. p-groups generated by elements of given order; 65. A2-groups; 66. A new proof of Blackburn's theorem on minimal nonmetacyclic 2-groups; 67. Determination of U2-groups; 68. Characterization of groups of prime exponent; 69. Elementary proofs of some Blackburn's theorems; 70. Non-2-generator p-groups all of whose maximal subgroups are 2-generator; 71. Determination of A2-groups; 72. An-groups, n > 2; 73. Classification of modular p-groups; 74. p-groups with a cyclic subgroup of index p2 75. Elements of order = 4 in p-groups76. p-groups with few A1-subgroups; 77. 2-groups with a self-centralizing abelian subgroup of type (4, 2); 78. Minimal nonmodular p-groups; 79. Nonmodular quaternion-free 2-groups; 80. Minimal non-quaternion-free 2-groups; 81. Maximal abelian subgroups in 2-groups; 82. A classification of 2-groups with exactly three involutions; 83. p-groups G with O2(G) or O2*(G) extraspecial; 84. 2-groups whose nonmetacyclic subgroups are generated by involutions; 85. 2-groups with a nonabelian Frattini subgroup of order 16 86. p-groups G with metacyclic O2*(G)87. 2-groups with exactly one nonmetacyclic maximal subgroup; 88. Hall chains in normal subgroups of p-groups; 89. 2-groups with exactly six cyclic subgroups of order 4; 90. Nonabelian 2-groups all of whose minimal nonabelian subgroups are of order 8; 91. Maximal abelian subgroups of p-groups; 92. On minimal nonabelian subgroups of p-groups; Appendix 16. Some central products; Appendix 17. Alternate proofs of characterization theorems of Miller and Janko on 2-groups, and some related results; Appendix 18. Replacement theorems |
| ctrlnum | (OCoLC)632751434 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn632751434 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:17:13Z |
| institution | BVB |
| isbn | 9783110208238 3110208237 1281993484 9781281993489 9786611993481 6611993487 3119162396 9783119162395 |
| issn | 0938-6572 ; |
| language | English |
| oclc_num | 632751434 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xv, 596 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | W. de Gruyter, |
| record_format | marc |
| series | De Gruyter expositions in mathematics ; |
| series2 | De Gruyter expositions in mathematics, |
| spelling | Berkovich, Yakov. Groups of prime power order. Volume 2 / by Yakov Berkovich and Zvonimir Janko. Berlin ; New York : W. de Gruyter, ©2008. 1 online resource (xv, 596 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter expositions in mathematics, 0938-6572 ; 47 Includes bibliographical references and indexes. Print version record. Annotation This is the second of three volumes on finite p-group theory, written by two prominent authors in the area. Frontmatter; Contents; List of definitions and notations; Preface; 46. Degrees of irreducible characters of Suzuki p-groups; 47. On the number of metacyclic epimorphic images of finite p-groups; 48. On 2-groups with small centralizer of an involution, I; 49. On 2-groups with small centralizer of an involution, II; 50. Janko's theorem on 2-groups without normal elementary abelian subgroups of order 8; 51. 2-groups with self centralizing subgroup isomorphic to E8; 52. 2-groups with 2-subgroup of small order; 53. 2-groups G with c2(G) = 4; 54. 2-groups G with cn(G) = 4, n > 2 55. 2-groups G with small subgroup (x ? G -- o(x) = 2"")56. Theorem of Ward on quaternion-free 2-groups; 57. Nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic and have exponent 4; 58. Non-Dedekindian p-groups all of whose nonnormal subgroups of the same order are conjugate; 59. p-groups with few nonnormal subgroups; 60. The structure of the Burnside group of order 212; 61. Groups of exponent 4 generated by three involutions; 62. Groups with large normal closures of nonnormal cyclic subgroups 63. Groups all of whose cyclic subgroups of composite orders are normal64. p-groups generated by elements of given order; 65. A2-groups; 66. A new proof of Blackburn's theorem on minimal nonmetacyclic 2-groups; 67. Determination of U2-groups; 68. Characterization of groups of prime exponent; 69. Elementary proofs of some Blackburn's theorems; 70. Non-2-generator p-groups all of whose maximal subgroups are 2-generator; 71. Determination of A2-groups; 72. An-groups, n > 2; 73. Classification of modular p-groups; 74. p-groups with a cyclic subgroup of index p2 75. Elements of order = 4 in p-groups76. p-groups with few A1-subgroups; 77. 2-groups with a self-centralizing abelian subgroup of type (4, 2); 78. Minimal nonmodular p-groups; 79. Nonmodular quaternion-free 2-groups; 80. Minimal non-quaternion-free 2-groups; 81. Maximal abelian subgroups in 2-groups; 82. A classification of 2-groups with exactly three involutions; 83. p-groups G with O2(G) or O2*(G) extraspecial; 84. 2-groups whose nonmetacyclic subgroups are generated by involutions; 85. 2-groups with a nonabelian Frattini subgroup of order 16 86. p-groups G with metacyclic O2*(G)87. 2-groups with exactly one nonmetacyclic maximal subgroup; 88. Hall chains in normal subgroups of p-groups; 89. 2-groups with exactly six cyclic subgroups of order 4; 90. Nonabelian 2-groups all of whose minimal nonabelian subgroups are of order 8; 91. Maximal abelian subgroups of p-groups; 92. On minimal nonabelian subgroups of p-groups; Appendix 16. Some central products; Appendix 17. Alternate proofs of characterization theorems of Miller and Janko on 2-groups, and some related results; Appendix 18. Replacement theorems English. Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Groupes finis. Théorie des groupes. MATHEMATICS Group Theory. bisacsh Finite groups fast Group theory fast Janko, Zvonimir. has work: Volume 2 Groups of prime power order (Text) https://id.oclc.org/worldcat/entity/E39PCH7p4PXYPgcXhVqBtXDHFq https://id.oclc.org/worldcat/ontology/hasWork Print version: Berkovich, I︠A︡. G., 1938- Groups of prime power order. Volume 2. Berlin ; New York : W. de Gruyter, ©2008 9783110204186 De Gruyter expositions in mathematics ; 47. 0938-6572 http://id.loc.gov/authorities/names/n90653843 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=274368 Volltext |
| spellingShingle | Berkovich, Yakov Groups of prime power order. De Gruyter expositions in mathematics ; Frontmatter; Contents; List of definitions and notations; Preface; 46. Degrees of irreducible characters of Suzuki p-groups; 47. On the number of metacyclic epimorphic images of finite p-groups; 48. On 2-groups with small centralizer of an involution, I; 49. On 2-groups with small centralizer of an involution, II; 50. Janko's theorem on 2-groups without normal elementary abelian subgroups of order 8; 51. 2-groups with self centralizing subgroup isomorphic to E8; 52. 2-groups with 2-subgroup of small order; 53. 2-groups G with c2(G) = 4; 54. 2-groups G with cn(G) = 4, n > 2 55. 2-groups G with small subgroup (x ? G -- o(x) = 2"")56. Theorem of Ward on quaternion-free 2-groups; 57. Nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic and have exponent 4; 58. Non-Dedekindian p-groups all of whose nonnormal subgroups of the same order are conjugate; 59. p-groups with few nonnormal subgroups; 60. The structure of the Burnside group of order 212; 61. Groups of exponent 4 generated by three involutions; 62. Groups with large normal closures of nonnormal cyclic subgroups 63. Groups all of whose cyclic subgroups of composite orders are normal64. p-groups generated by elements of given order; 65. A2-groups; 66. A new proof of Blackburn's theorem on minimal nonmetacyclic 2-groups; 67. Determination of U2-groups; 68. Characterization of groups of prime exponent; 69. Elementary proofs of some Blackburn's theorems; 70. Non-2-generator p-groups all of whose maximal subgroups are 2-generator; 71. Determination of A2-groups; 72. An-groups, n > 2; 73. Classification of modular p-groups; 74. p-groups with a cyclic subgroup of index p2 75. Elements of order = 4 in p-groups76. p-groups with few A1-subgroups; 77. 2-groups with a self-centralizing abelian subgroup of type (4, 2); 78. Minimal nonmodular p-groups; 79. Nonmodular quaternion-free 2-groups; 80. Minimal non-quaternion-free 2-groups; 81. Maximal abelian subgroups in 2-groups; 82. A classification of 2-groups with exactly three involutions; 83. p-groups G with O2(G) or O2*(G) extraspecial; 84. 2-groups whose nonmetacyclic subgroups are generated by involutions; 85. 2-groups with a nonabelian Frattini subgroup of order 16 86. p-groups G with metacyclic O2*(G)87. 2-groups with exactly one nonmetacyclic maximal subgroup; 88. Hall chains in normal subgroups of p-groups; 89. 2-groups with exactly six cyclic subgroups of order 4; 90. Nonabelian 2-groups all of whose minimal nonabelian subgroups are of order 8; 91. Maximal abelian subgroups of p-groups; 92. On minimal nonabelian subgroups of p-groups; Appendix 16. Some central products; Appendix 17. Alternate proofs of characterization theorems of Miller and Janko on 2-groups, and some related results; Appendix 18. Replacement theorems Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Groupes finis. Théorie des groupes. MATHEMATICS Group Theory. bisacsh Finite groups fast Group theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85048354 http://id.loc.gov/authorities/subjects/sh85057512 |
| title | Groups of prime power order. |
| title_auth | Groups of prime power order. |
| title_exact_search | Groups of prime power order. |
| title_full | Groups of prime power order. Volume 2 / by Yakov Berkovich and Zvonimir Janko. |
| title_fullStr | Groups of prime power order. Volume 2 / by Yakov Berkovich and Zvonimir Janko. |
| title_full_unstemmed | Groups of prime power order. Volume 2 / by Yakov Berkovich and Zvonimir Janko. |
| title_short | Groups of prime power order. |
| title_sort | groups of prime power order |
| topic | Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Groupes finis. Théorie des groupes. MATHEMATICS Group Theory. bisacsh Finite groups fast Group theory fast |
| topic_facet | Finite groups. Group theory. Groupes finis. Théorie des groupes. MATHEMATICS Group Theory. Finite groups Group theory |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=274368 |
| work_keys_str_mv | AT berkovichyakov groupsofprimepowerordervolume2 AT jankozvonimir groupsofprimepowerordervolume2 |