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Introduction 1
Chapter I Group Extensions with Abelian Kernel
1 The Calculus of Induced Extensions 5
2 The Exact Sequence for Opext 19
3 The Schur Multiplicator and the Universal Coefficient Theorem 28
4 The Ganea Map of Central Extensions 40
5 Compatibility with Other Approaches 47
6 Corestriction (Transfer) 58
Chapter II Schur's Theory of Projective Representations
1 Projective Representations 67
2 The Problem of Lifting Homomorphisms 77
3 Representation Groups 91
4 Representation Groups of Free and Direct Products 101
5 The Covering Theory of Perfect Groups 113
Chapter III Isoclinism
1 Isoclinic Groups and Central Extensions 123
2 Isoclinism and the Schur Multiplicator 137
3 The Isomorphism Classes of Isoclinic Central Extensions and the Hall Formulae 144
4 On Presentations of Isoclinic Groups 155
5 Representations of Isoclinic Groups 169
Chapter IV Other Group-Theoretic Applications of the Schur Multiplicator
1 Deficiency of Finitely Presented Groups 179
2 Metacyclic Groups 193
3 The Precise Center of an Extension Group and Capable Groups 204
4 Examples of the Computation of Z*(G) 213
5 Preliminaries on Group Varieties 227
6 Central Extensions and Varieties 233
7 Schur-Baer Multiplicators and Isologism 244
Bibliography 261
Index of Special Symbols 271
Subject Index 274
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Steven P Beck
reviewed Group extensions, representations, and the Schur multiplicator on September 08, 2015
Group extensions
Much of the foundational work in cryptography was done by Goldwasser, Micali (co-recipients of the Turing Award), Yao and Goldreich. This is a pretty good introduction to some of the key results and definitions. The definitions or variations thereof are shared across the breadth of the subject for the most part.
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Add Group extensions, representations, and the Schur multiplicator, This series reports on new developments in mathematical research and teaching - quickly, informally and at a high level. The type of material considered for publication includes 1. Research monographs 2. Lectures on a new field or presentations of a, Group extensions, representations, and the Schur multiplicator to the inventory that you are selling on WonderClubX
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Add Group extensions, representations, and the Schur multiplicator, This series reports on new developments in mathematical research and teaching - quickly, informally and at a high level. The type of material considered for publication includes 1. Research monographs 2. Lectures on a new field or presentations of a, Group extensions, representations, and the Schur multiplicator to your collection on WonderClub |
