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

666 Pages·2011·4.758 MB·English
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by Yakov Berkovich, Zvonimir Janko| 2011| 666 pages| 4.758| English

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

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.

Detailed Information

Author:Yakov Berkovich, Zvonimir Janko
Publication Year:2011
ISBN:9783110207170
Pages:666
Language:English
File Size:4.758
Format:PDF
Price:FREE
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