Groups of Prime Power Order: Volume 3
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ;New York
De Gruyter
2011
|
| Schriftenreihe: | de Gruyter Expositions in Mathematics
56 |
| Schlagworte: | |
| Online-Zugang: | FAB01 FAW01 FCO01 FHA01 FKE01 FLA01 UPA01 Volltext |
| Beschreibung: | Includes indexes Biographical note: Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko,Heidelberg University, Germany Main description: This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: (a) impact of minimal nonabelian subgroups on the structure of p-groups, (b) classification of groups all of whose nonnormal subgroups have the same order, (c) degrees of irreducible characters of p-groups associated with finite algebras, (d) groups covered by few proper subgroups, (e) p-groups of element breadth 2 and subgroup breadth 1, (f) exact number of subgroups of given order in a metacyclic p-group, (g) soft subgroups, (h) p-groups with a maximal elementary abelian subgroup of order p2, (i) p-groups generated by certain minimal nonabelian subgroups, (j) p-groups in which certain nonabelian subgroups are 2-generator. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 1283400375 9781283400374 9783110207170 9783110254488 |
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| 500 | |a Includes indexes | ||
| 500 | |a Biographical note: Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko,Heidelberg University, Germany | ||
| 500 | |a Main description: This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: (a) impact of minimal nonabelian subgroups on the structure of p-groups, (b) classification of groups all of whose nonnormal subgroups have the same order, (c) degrees of irreducible characters of p-groups associated with finite algebras, (d) groups covered by few proper subgroups, (e) p-groups of element breadth 2 and subgroup breadth 1, (f) exact number of subgroups of given order in a metacyclic p-group, (g) soft subgroups, (h) p-groups with a maximal elementary abelian subgroup of order p2, (i) p-groups generated by certain minimal nonabelian subgroups, (j) p-groups in which certain nonabelian subgroups are 2-generator. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes | ||
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Group theory | |
| 653 | |a Finite groups | ||
| 653 | |a Group theory | ||
| 700 | 1 | |a Janko, Zvonimir |e Sonstige |4 oth | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Berkovich, Yakov |
| author_facet | Berkovich, Yakov |
| author_role | aut |
| author_sort | Berkovich, Yakov |
| author_variant | y b yb |
| building | Verbundindex |
| bvnumber | BV042348225 |
| collection | ZDB-23-DGG |
| ctrlnum | (OCoLC)978483275 (DE-599)BVBBV042348225 |
| 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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| language | English |
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| spelling | Berkovich, Yakov Verfasser aut Groups of Prime Power Order Volume 3 Yakov Berkovich, Zvonimir Janko Berlin ;New York De Gruyter 2011 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier de Gruyter Expositions in Mathematics 56 Includes indexes Biographical note: Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko,Heidelberg University, Germany Main description: This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: (a) impact of minimal nonabelian subgroups on the structure of p-groups, (b) classification of groups all of whose nonnormal subgroups have the same order, (c) degrees of irreducible characters of p-groups associated with finite algebras, (d) groups covered by few proper subgroups, (e) p-groups of element breadth 2 and subgroup breadth 1, (f) exact number of subgroups of given order in a metacyclic p-group, (g) soft subgroups, (h) p-groups with a maximal elementary abelian subgroup of order p2, (i) p-groups generated by certain minimal nonabelian subgroups, (j) p-groups in which certain nonabelian subgroups are 2-generator. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes Finite groups Group theory Janko, Zvonimir Sonstige oth http://www.degruyter.com/doi/book/10.1515/9783110254488 Verlag Volltext |
| spellingShingle | Berkovich, Yakov Groups of Prime Power Order Volume 3 Finite groups Group theory |
| title | Groups of Prime Power Order Volume 3 |
| title_auth | Groups of Prime Power Order Volume 3 |
| title_exact_search | Groups of Prime Power Order Volume 3 |
| title_full | Groups of Prime Power Order Volume 3 Yakov Berkovich, Zvonimir Janko |
| title_fullStr | Groups of Prime Power Order Volume 3 Yakov Berkovich, Zvonimir Janko |
| title_full_unstemmed | Groups of Prime Power Order Volume 3 Yakov Berkovich, Zvonimir Janko |
| title_short | Groups of Prime Power Order |
| title_sort | groups of prime power order volume 3 |
| title_sub | Volume 3 |
| topic | Finite groups Group theory |
| topic_facet | Finite groups Group theory |
| url | http://www.degruyter.com/doi/book/10.1515/9783110254488 |
| work_keys_str_mv | AT berkovichyakov groupsofprimepowerordervolume3 AT jankozvonimir groupsofprimepowerordervolume3 |