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

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