Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order. Volume 4

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<p>This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volumes, minimal nonabelian <em>p-</em>groups play an important role. Topics covered in this volume include: </p> <ul> <li>subgroup structure of metacyclic <em>p-</em>groups </li> <li>Ishikawa’s theorem on <em>p-</em>groups with two sizes of conjugate classes </li> <li><em>p-</em>central <em>p-</em>groups </li> <li>theorem of Kegel on nilpotence of H <em>p</em>-groups </li> <li>partitions of <em>p-</em>groups </li> <li>characterizations of Dedekindian groups </li> <li>norm of <em>p-</em>groups </li> <li><em>p-</em>groups with 2-uniserial subgroups of small order </li></ul> <p>The book also contains hundreds of original exercises and solutions and a comprehensive list of more than 500 open problems. This work is suitable for researchers and graduate students with a modest background in algebra. </p>