Groups of prime power order / volume 3
Biographical note: Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko,Heidelberg University, Germany.
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| Main Authors: | , |
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| Format: | Book/Monograph |
| Language: | English |
| Published: |
Berlin New York
De Gruyter
[2011]
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| Series: | De Gruyter expositions in mathematics
56 |
| In: |
Groups of prime power order
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| DOI: | 10.1515/9783110254488 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1515/9783110254488 Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1515/9783110254488 Verlag, lizenzpflichtig: https://www.degruyterbrill.com/isbn/9783110254488 Cover: https://www.degruyterbrill.com/doc/cover/9783110254488.jpg Verlag, Zentralblatt MATH, Inhaltstext: https://zbmath.org/?q=an:1229.20001 Verlag, Cover: https://www.degruyterbrill.com/document/cover/isbn/9783110254488/original 
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| Author Notes: | Yakov Berkovich, Zvonimir Janko |
| Summary: | Biographical note: Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko,Heidelberg University, Germany. 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. |
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| Physical Description: | Online Resource |
| ISBN: | 9783110254488 |
| DOI: | 10.1515/9783110254488 |
| Access: | Restricted Access |