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Groups of Prime Power Order, Volume 3

This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: impact of minimal nonabelian subgroups on the structure of p-groups, classification of groups all of whose nonnormal subgroups have the same order, degrees of irreducible cha...

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Bibliographic Details
Main Authors: Berkovich, Yakov, Janko, Zvonimir (Author)
Format: eBook
Language:English
Published: Berlin De Gruyter [2011]©2011, 2011
Series:De Gruyter Expositions in Mathematics
Subjects:
Group Theory
Primzahl
Finite Groups
Mathematics / Group Theory / Bisacsh
Primes
Gruppentheorie
Order
Zyklische Ordnung
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
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520 |a This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: impact of minimal nonabelian subgroups on the structure of p-groups, classification of groups all of whose nonnormal subgroups have the same order, degrees of irreducible characters of p-groups associated with finite algebras, groups covered by few proper subgroups, p-groups of element breadth 2 and subgroup breadth 1, exact number of subgroups of given order in a metacyclic p-group, soft subgroups, p-groups with a maximal elementary abelian subgroup of order p2, p-groups generated by certain minimal nonabelian subgroups, 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 

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