Yakov Berkovich & Zvonimir Janko 
Groups of Prime Power Order. Volume 3 [PDF ebook] 

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.

关于作者