Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order. Volume 3

Zvonimir Janko / Yakov Berkovich

This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: <ul> <li>impact of minimal nonabelian subgroups on the structure of p-groups, </li> <li>classification of groups all of whose nonnormal subgroups have the same order, </li> <li>degrees of irreducible characters of p-groups associated with finite algebras, </li> <li>groups covered by few proper subgroups, </li> <li>p-groups of element breadth 2 and subgroup breadth 1, </li> <li>exact number of subgroups of given order in a metacyclic p-group, </li> <li>soft subgroups, </li> <li>p-groups with a maximal elementary abelian subgroup of order p2, </li> <li>p-groups generated by certain minimal nonabelian subgroups, </li> <li>p-groups in which certain nonabelian subgroups are 2-generator.</li></ul> The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.