UID:
almahu_9947359868002882
Format:
Online-Ressource
Edition:
Online-Ausg. 2011 Electronic reproduction; Available via World Wide Web
ISBN:
9783110207170
Series Statement:
de Gruyter Expositions in Mathematics 56
Content:
Biographical note: Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko,Heidelberg University, Germany.
Content:
Main description: This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: (a) impact of minimal nonabelian subgroups on the structure of p-groups, (b) classification of groups all of whose nonnormal subgroups have the same order, (c) degrees of irreducible characters of p-groups associated with finite algebras, (d) groups covered by few proper subgroups, (e) p-groups of element breadth 2 and subgroup breadth 1, (f) exact number of subgroups of given order in a metacyclic p-group, (g) soft subgroups, (h) p-groups with a maximal elementary abelian subgroup of order p2, (i) p-groups generated by certain minimal nonabelian subgroups, (j) 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.
Note:
Includes indexes
Additional Edition:
ISBN 9783110254488
Language:
English
DOI:
10.1515/9783110254488
URL:
http://www.degruyter.com/doi/book/10.1515/9783110254488
