Groups of Prime Power Order. Volume 3

Berkovich, Yakov/ Janko, Zvonimir

ISBN 10: 3110207176 / ISBN 13: 9783110207170

Published by De Gruyter, 2011

About this Item

1st edition. 639 pages. 9.75x7.00x1.75 inches. In Stock.

Seller Inventory # __3110207176

Bibliographic Details

• Title: Groups of Prime Power Order. Volume 3
• Publisher: De Gruyter
• Publication Date: 2011
• Language: English
• ISBN 10: 3110207176
• ISBN 13: 9783110207170
• Binding: Hardcover
• Condition: Brand New
• Weight: 0.67 kilograms

About this title

Synopsis

This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume:

• impact of minimal nonabelian subgroups on the structure of p-groups,
• classification of groups all of whose nonnormal subgroups have the same order,
• degrees of irreducible characters of p-groups associated with finite algebras,
• groups covered by few proper subgroups,
• p-groups of element breadth 2 and subgroup breadth 1,
• exact number of subgroups of given order in a metacyclic p-group,
• soft subgroups,
• p-groups with a maximal elementary abelian subgroup of order p²,
• p-groups generated by certain minimal nonabelian subgroups,
• p-groups in which certain nonabelian subgroups are 2-generator.

The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.

About the Author

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