Yakov Berkovich; Zvonimir Janko.:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin/Boston :
De Gruyter, Inc.,
2018.
|
| Schriftenreihe: | De Gruyter Expositions in Mathematics Ser.
|
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Beschreibung: | 290 Non-Dedekindian p-groups G with a noncyclic proper subgroup H such that each subgroup which is nonincident with H is normal in G. |
| Beschreibung: | 1 online resource (410 pages) |
| ISBN: | 3110533146 9783110533149 |
Internformat
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| 505 | 0 | |6 880-01 |a Intro; Contents; List of definitions and notations; Preface; 257 Nonabelian p-groups with exactly one minimal nonabelian subgroup of exponent> p; 258 2-groups with some prescribed minimal nonabelian subgroups; 259 Nonabelian p-groups, p> 2, all of whose minimal nonabelian subgroups are isomorphic to Mp3; 260 p-groups with many modular subgroups Mpn; 261 Nonabelian p-groups of exponent> p with a small number of maximal abelian subgroups of exponent> p; 262 Nonabelian p-groups all of whose subgroups are powerful. | |
| 505 | 8 | |a 270 p-groups all of whose Ak-subgroups for a fixed k> 1 are metacyclic 271 Two theorems of Blackburn; 272 Nonabelian p-groups all of whose maximal abelian subgroups, except one, are either cyclic or elementary abelian; 273 Nonabelian p-groups all of whose noncyclic maximal abelian subgroups are elementary abelian; 274 Non-Dedekindian p-groups in which any two nonnormal subgroups normalize each other; 275 Nonabelian p-groups with exactly p normal closures of minimal nonabelian subgroups; 276 2-groups all of whose maximal subgroups, except one, are Dedekindian. | |
| 505 | 8 | |a 277 p-groups with exactly two conjugate classes of nonnormal maximal cyclic subgroups 278 Nonmetacyclic p-groups all of whose maximal metacyclic subgroups have index p; 279 Subgroup characterization of some p-groups of maximal class and close to them; 280 Nonabelian p-groups all of whose maximal subgroups, except one, are minimal nonmetacyclic; 281 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups have a cyclic intersection; 282 p-groups with large normal closures of nonnormal subgroups; 283 Nonabelian p-groups with many cyclic centralizers. | |
| 505 | 8 | |a 284 Nonabelian p-groups, p> 2, of exponent> p2 all of whose minimal nonabelian subgroups are of order p3 285 A generalization of Lemma 57.1; 286 Groups ofexponent p with many normal subgroups; 287 p-groups in which the intersection of any two nonincident subgroups is normal; 288 Nonabelian p-groups in which for every minimal nonabelian M M(x) = Z(M); 289 Non-Dedekindian p-groups all of whose maximal nonnormal subgroups are conjugate. | |
| 500 | |a 290 Non-Dedekindian p-groups G with a noncyclic proper subgroup H such that each subgroup which is nonincident with H is normal in G. | ||
| 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 Finite groups |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 700 | 1 | |a Janko, Zvonimir. | |
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| 880 | 8 | |6 505-01/(S |a 263 Nonabelian 2-groups G with CG(x) ≤ H for all H ∈ Γ1 and x ∈ H − Z(G) 264 Nonabelian 2-groups of exponent ≥ 16 all of whose minimal nonabelian subgroups, except one, have order 8; 265 p-groups all of whose regular subgroups are either absolutely regular or of exponent p; 266 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups with a nontrivial intersection are non-isomorphic; 267 Thompson's A × B lemma; 268 On automorphisms of some p-groups; 269 On critical subgroups of p-groups. | |
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| author | Berkovich, Yakov G. |
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| author_facet | Berkovich, Yakov G. Janko, Zvonimir |
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| contents | Intro; Contents; List of definitions and notations; Preface; 257 Nonabelian p-groups with exactly one minimal nonabelian subgroup of exponent> p; 258 2-groups with some prescribed minimal nonabelian subgroups; 259 Nonabelian p-groups, p> 2, all of whose minimal nonabelian subgroups are isomorphic to Mp3; 260 p-groups with many modular subgroups Mpn; 261 Nonabelian p-groups of exponent> p with a small number of maximal abelian subgroups of exponent> p; 262 Nonabelian p-groups all of whose subgroups are powerful. 270 p-groups all of whose Ak-subgroups for a fixed k> 1 are metacyclic 271 Two theorems of Blackburn; 272 Nonabelian p-groups all of whose maximal abelian subgroups, except one, are either cyclic or elementary abelian; 273 Nonabelian p-groups all of whose noncyclic maximal abelian subgroups are elementary abelian; 274 Non-Dedekindian p-groups in which any two nonnormal subgroups normalize each other; 275 Nonabelian p-groups with exactly p normal closures of minimal nonabelian subgroups; 276 2-groups all of whose maximal subgroups, except one, are Dedekindian. 277 p-groups with exactly two conjugate classes of nonnormal maximal cyclic subgroups 278 Nonmetacyclic p-groups all of whose maximal metacyclic subgroups have index p; 279 Subgroup characterization of some p-groups of maximal class and close to them; 280 Nonabelian p-groups all of whose maximal subgroups, except one, are minimal nonmetacyclic; 281 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups have a cyclic intersection; 282 p-groups with large normal closures of nonnormal subgroups; 283 Nonabelian p-groups with many cyclic centralizers. 284 Nonabelian p-groups, p> 2, of exponent> p2 all of whose minimal nonabelian subgroups are of order p3 285 A generalization of Lemma 57.1; 286 Groups ofexponent p with many normal subgroups; 287 p-groups in which the intersection of any two nonincident subgroups is normal; 288 Nonabelian p-groups in which for every minimal nonabelian M M(x) = Z(M); 289 Non-Dedekindian p-groups all of whose maximal nonnormal subgroups are conjugate. |
| ctrlnum | (OCoLC)1054067465 |
| dewey-full | 512/.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.23 |
| dewey-search | 512/.23 |
| dewey-sort | 3512 223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-on1054067465 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-18T14:25:19Z |
| institution | BVB |
| isbn | 3110533146 9783110533149 |
| language | English |
| oclc_num | 1054067465 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (410 pages) |
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| publishDate | 2018 |
| publishDateSearch | 2018 |
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| publisher | De Gruyter, Inc., |
| record_format | marc |
| series | De Gruyter Expositions in Mathematics Ser. |
| series2 | De Gruyter Expositions in Mathematics Ser. ; |
| spelling | Berkovich, Yakov G. Yakov Berkovich; Zvonimir Janko. Berlin/Boston : De Gruyter, Inc., 2018. 1 online resource (410 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter Expositions in Mathematics Ser. ; v. 65 Print version record. 880-01 Intro; Contents; List of definitions and notations; Preface; 257 Nonabelian p-groups with exactly one minimal nonabelian subgroup of exponent> p; 258 2-groups with some prescribed minimal nonabelian subgroups; 259 Nonabelian p-groups, p> 2, all of whose minimal nonabelian subgroups are isomorphic to Mp3; 260 p-groups with many modular subgroups Mpn; 261 Nonabelian p-groups of exponent> p with a small number of maximal abelian subgroups of exponent> p; 262 Nonabelian p-groups all of whose subgroups are powerful. 270 p-groups all of whose Ak-subgroups for a fixed k> 1 are metacyclic 271 Two theorems of Blackburn; 272 Nonabelian p-groups all of whose maximal abelian subgroups, except one, are either cyclic or elementary abelian; 273 Nonabelian p-groups all of whose noncyclic maximal abelian subgroups are elementary abelian; 274 Non-Dedekindian p-groups in which any two nonnormal subgroups normalize each other; 275 Nonabelian p-groups with exactly p normal closures of minimal nonabelian subgroups; 276 2-groups all of whose maximal subgroups, except one, are Dedekindian. 277 p-groups with exactly two conjugate classes of nonnormal maximal cyclic subgroups 278 Nonmetacyclic p-groups all of whose maximal metacyclic subgroups have index p; 279 Subgroup characterization of some p-groups of maximal class and close to them; 280 Nonabelian p-groups all of whose maximal subgroups, except one, are minimal nonmetacyclic; 281 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups have a cyclic intersection; 282 p-groups with large normal closures of nonnormal subgroups; 283 Nonabelian p-groups with many cyclic centralizers. 284 Nonabelian p-groups, p> 2, of exponent> p2 all of whose minimal nonabelian subgroups are of order p3 285 A generalization of Lemma 57.1; 286 Groups ofexponent p with many normal subgroups; 287 p-groups in which the intersection of any two nonincident subgroups is normal; 288 Nonabelian p-groups in which for every minimal nonabelian M M(x) = Z(M); 289 Non-Dedekindian p-groups all of whose maximal nonnormal subgroups are conjugate. 290 Non-Dedekindian p-groups G with a noncyclic proper subgroup H such that each subgroup which is nonincident with H is normal in G. Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Groupes finis. Théorie des groupes. Finite groups fast Group theory fast Janko, Zvonimir. Print version: Berkovich, Yakov G. Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order. Volume 6. Berlin/Boston : De Gruyter, Inc., ©2018 9783110530971 De Gruyter Expositions in Mathematics Ser. 505-01/(S 263 Nonabelian 2-groups G with CG(x) ≤ H for all H ∈ Γ1 and x ∈ H − Z(G) 264 Nonabelian 2-groups of exponent ≥ 16 all of whose minimal nonabelian subgroups, except one, have order 8; 265 p-groups all of whose regular subgroups are either absolutely regular or of exponent p; 266 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups with a nontrivial intersection are non-isomorphic; 267 Thompson's A × B lemma; 268 On automorphisms of some p-groups; 269 On critical subgroups of p-groups. |
| spellingShingle | Berkovich, Yakov G. Yakov Berkovich; Zvonimir Janko. De Gruyter Expositions in Mathematics Ser. Intro; Contents; List of definitions and notations; Preface; 257 Nonabelian p-groups with exactly one minimal nonabelian subgroup of exponent> p; 258 2-groups with some prescribed minimal nonabelian subgroups; 259 Nonabelian p-groups, p> 2, all of whose minimal nonabelian subgroups are isomorphic to Mp3; 260 p-groups with many modular subgroups Mpn; 261 Nonabelian p-groups of exponent> p with a small number of maximal abelian subgroups of exponent> p; 262 Nonabelian p-groups all of whose subgroups are powerful. 270 p-groups all of whose Ak-subgroups for a fixed k> 1 are metacyclic 271 Two theorems of Blackburn; 272 Nonabelian p-groups all of whose maximal abelian subgroups, except one, are either cyclic or elementary abelian; 273 Nonabelian p-groups all of whose noncyclic maximal abelian subgroups are elementary abelian; 274 Non-Dedekindian p-groups in which any two nonnormal subgroups normalize each other; 275 Nonabelian p-groups with exactly p normal closures of minimal nonabelian subgroups; 276 2-groups all of whose maximal subgroups, except one, are Dedekindian. 277 p-groups with exactly two conjugate classes of nonnormal maximal cyclic subgroups 278 Nonmetacyclic p-groups all of whose maximal metacyclic subgroups have index p; 279 Subgroup characterization of some p-groups of maximal class and close to them; 280 Nonabelian p-groups all of whose maximal subgroups, except one, are minimal nonmetacyclic; 281 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups have a cyclic intersection; 282 p-groups with large normal closures of nonnormal subgroups; 283 Nonabelian p-groups with many cyclic centralizers. 284 Nonabelian p-groups, p> 2, of exponent> p2 all of whose minimal nonabelian subgroups are of order p3 285 A generalization of Lemma 57.1; 286 Groups ofexponent p with many normal subgroups; 287 p-groups in which the intersection of any two nonincident subgroups is normal; 288 Nonabelian p-groups in which for every minimal nonabelian M M(x) = Z(M); 289 Non-Dedekindian p-groups all of whose maximal nonnormal subgroups are conjugate. Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Groupes finis. Théorie des groupes. Finite groups fast Group theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85048354 http://id.loc.gov/authorities/subjects/sh85057512 |
| title | Yakov Berkovich; Zvonimir Janko. |
| title_auth | Yakov Berkovich; Zvonimir Janko. |
| title_exact_search | Yakov Berkovich; Zvonimir Janko. |
| title_full | Yakov Berkovich; Zvonimir Janko. |
| title_fullStr | Yakov Berkovich; Zvonimir Janko. |
| title_full_unstemmed | Yakov Berkovich; Zvonimir Janko. |
| title_short | Yakov Berkovich; Zvonimir Janko. |
| title_sort | yakov berkovich zvonimir janko |
| topic | Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Groupes finis. Théorie des groupes. Finite groups fast Group theory fast |
| topic_facet | Finite groups. Group theory. Groupes finis. Théorie des groupes. Finite groups Group theory |
| work_keys_str_mv | AT berkovichyakovg yakovberkovichzvonimirjanko AT jankozvonimir yakovberkovichzvonimirjanko |