ENGLISH

Groups of Prime Power Order, Volume 3 (De Gruyter Expositions in Mathematics, 56)

By Yakov Berkovich , Zvonimir Janko

Book information

Publisher
de Gruyter
Year
2011
ISBN
3110207176, 9783110207170
ISSN
0938-6572
LCC
QA177 .B469 2011
Google Books ID
O-YNzl9QU1QC
Open Library ID
OL24822910M
Language
english
Format
PDF
Filesize
5 MB (4988687 bytes)
Series
De Gruyter Expositions in Mathematics 56
Edition
1
Pages
666\666
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00

Description

This is the last of three volumes 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 p??, (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 more than 1000 research problems and themes.

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