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.
- ISBN10 3110207176
- ISBN13 9783110207170
- Publish Date 16 June 2011 (first published 1 January 2011)
- Publish Status Active
- Publish Country DE
- Imprint De Gruyter
- Format Hardcover
- Pages 664
- Language English
- URL https://degruyter.com/isbn/9783110207170