Groups of Prime Power Order. Volume 3
| Autor: | Berkovich, Yakov Janko, Zvonimir |
|---|---|
| EAN: | 9783110207170 |
| Sachgruppe: | Mathematik |
| Sprache: | Englisch |
| Seitenzahl: | 668 |
| Produktart: | Gebunden |
| Veröffentlichungsdatum: | 16.06.2011 |
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This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: impact of minimal nonabelian subgroups on the structure of p-groups, classification of groups all of whose nonnormal subgroups have the same order, degrees of irreducible characters of p-groups associated with finite algebras, groups covered by few proper subgroups, p-groups of element breadth 2 and subgroup breadth 1, exact number of subgroups of given order in a metacyclic p-group, soft subgroups, p-groups with a maximal elementary abelian subgroup of order p2, p-groups generated by certain minimal nonabelian subgroups, 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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