Beschreibung
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.
Autorenporträt
Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko, Heidelberg University, Germany.
