Groups of Prime Power Order. Volume 4

1. Auflage 2015
ISBN: 978-3-11-028145-3
Verlag: De Gruyter

Buch, Englisch, Band 61, 459 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 980 g

Reihe: De Gruyter Expositions in Mathematics

This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volumes, minimal nonabelian groups play an important role. Topics covered in this volume include:

• subgroup structure of metacyclic groups
• Ishikawa’s theorem on groups with two sizes of conjugate classes
• central groups
• theorem of Kegel on nilpotence of H -groups
• partitions of groups
• characterizations of Dedekindian groups
• norm of groups
• 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.

Zielgruppe

Researchers, Graduate Students of Mathematics; Academic Libraries

Autoren/Hrsg.

Janko, Zvonimir

Berkovich, Yakov G.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Über Autor(innen)

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