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

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.

About the author

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

Product details

• Authors: Yakov Berkovich, Yakov G Berkovich, Yakov G. Berkovich, Zvonimir Janko
• Publisher: De Gruyter
• Languages: English
• Product format: Hardback
• Released: 01.01.2015
• EAN: 9783110281453
• ISBN: 978-3-11-028145-3
• No. of pages: 459
• Dimensions: 174 mm x 243 mm x 27 mm
• Weight: 925 g
• Sets: Yakov Berkovich; Zvonimir Janko: Groups of Prime P; Yakov Berkovich; Zvonimir Janko: Groups of Prime P; Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order; Groups of Prime Power Order
• Series: De Gruyter Expositions in Mathematics; Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order; De Gruyter Expositions in Mathematics; ISSN; Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Mathematik, Algebra, Enzyklopädie, Nachschlagewerke, MATHEMATICS / Group Theory, Diskret (mathematisch), Gruppe (mathematisch) - Gruppentheorie, Group theory; Cyclic Order; Primes, Diskrete Mathematik, Algebra / Gruppe (mathematisch)