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· 2015

Groups of Prime Power Order 4

Yakov Berkovich, Zvonimir Janko

Short summary

This abstract describes the fourth volume of a comprehensive, elementary treatment of finite p-group theory, focusing on minimal nonabelian p-groups and their subgroup structures.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Focuses on minimal nonabelian p-groups and their role in p-group theory.
  • Covers diverse topics like subgroup structure, specific theorems (Ishikawa, Kegel), and group characterizations.
  • Includes hundreds of original exercises and solutions.
  • Presents a comprehensive list of over 500 open problems in the field.

AI-generated from the title and abstract; the full text is not read.

Abstract

This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volumes, minimal nonabelian p- groups play an important role. Topics covered in this volume include: subgroup structure of metacyclic p- groups Ishikawa's theorem on p- groups with two sizes of conjugate classes p- central p- groups theorem of Kegel on nilpotence of H p -groups partitions of p- groups characterizations of Dedekindian groups norm of p- groups p- groups with 2-uniserial subgroups of small order 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.

The authors' abstract, as published at the source., 2015 · DOI ↗

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics