Berkovich / Janko Groups of Prime Power Order. Volume 4

Volume 4
1. Auflage 2015
ISBN: 978-3-11-038155-9
Verlag: De Gruyter
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, 475 Seiten

Reihe: ISSN

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.

Autoren/Hrsg.

Berkovich, Yakov G.

Janko, Zvonimir

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Über Autor(innen)

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