Format:
1 Online-Ressource (XXV, 639 Seiten)
ISBN:
9783110254488
Series Statement:
De Gruyter Expositions in Mathematics 56
Content:
Biographical note: Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko,Heidelberg University, Germany.
Content:
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:
In English
In:
volume 3
Additional Edition:
ISBN 9783110207170
Additional Edition:
ISBN 9781283400374
Additional Edition:
Erscheint auch als Druck-Ausgabe Berkovič, Jakov G., 1938 - Groups of prime power order ; 3 Berlin : de Gruyter, 2011 ISBN 9783110207170
Language:
English
DOI:
10.1515/9783110254488
URL:
Volltext
(lizenzpflichtig)
Author information:
Berkovič, Jakov G. 1938-