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.



Autorentext

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

Titel
Groups of Prime Power Order. Volume 4
Untertitel
Volume 4
EAN
9783110381559
ISBN
978-3-11-038155-9
Format
E-Book (epub)
Hersteller
Veröffentlichung
14.12.2015
Digitaler Kopierschutz
Wasserzeichen
Dateigrösse
11.05 MB
Anzahl Seiten
475
Jahr
2015
Untertitel
Englisch