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Groups of Prime Power Order

Groups of Prime Power Order

Hardcover

Series: de Gruyter Expositions in Mathematics, Book 46

AlgebraGeneral Mathematics

ISBN10: 3110204185
ISBN13: 9783110204186
Publisher: de Gruyter
Published: Nov 17 2008
Pages: 532
Weight: 2.30
Height: 1.13 Width: 6.69 Depth: 9.61
Language: English

This is the first of three volumes of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this monograph include: (a) counting of subgroups, with almost all main counting theorems being proved, (b) regular p-groups and regularity criteria, (c) p-groups of maximal class and their numerous characterizations, (d) characters of p-groups, (e) p-groups with large Schur multiplier and commutator subgroups, (f) (p‒1)-admissible Hall chains in normal subgroups, (g) powerful p-groups, (h) automorphisms of p-groups, (i) p-groups all of whose nonnormal subgroups are cyclic, (j) Alperin's problem on abelian subgroups of small index.

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General Mathematics