Finite groups

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Finite groups / B. Huppert, N. Blackburn

資料種別:

図書

出版情報:

Berlin ; New York : Springer-Verlag, 1982

形態:

2 v. ; 24 cm

シリーズ名:

Die Grundlehren der mathematischen Wissenschaften ; Bd. 242-243 <BA00007422>

著者名:

ISBN:

9783540106326 [3540106324] (2 : gw)
9780387106328 [0387106324] (2 : us)
9783642679964 [364267996X] (2 : pbk)
9783540106333 [3540106332] (3 : gw)
9780387106335 [0387106332] (3 : us)
9783642679995 [3642679994] (3 : pbk)

書誌ID:

BA00429343

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

その他の標題:

Endliche Gruppen

注記:

Vol. 1 published in German with title: Endliche Gruppen / B. Huppert
Includes bibliographies and indexes

主題:

有限群

言語:

英語; ドイツ語

目次情報:

Elements of General Representation Theory / Chapter VII：

Extension of the Ground-Field / 1：

Splitting Fields / 2：

The Number of Irreducible Modular Representations / 3：

Induced Modules / 4：

The Number of Indecomposable KG-Modules / 5：

Indecomposable and Absolutely Indecomposable Modules / 6：

Relative Projective and Relative Injective Modules / 7：

The Dual Module / 8：

Representations of Normal Subgroups / 9：

One-Sided Decompositions of the Group-Ring / 10：

Frobenius Algebras and Symmetric Algebras / 11：

Two-Sided Decompositions of Algebras / 12：

Blocks of p-Constrained Groups / 13：

Kernels of Blocks / 14：

p-Chief Factors of p-Soluble Groups / 15：

Green's Indecomposability Theorem / 16：

Notes on Chapter VII

Linear Methods in Nilpotent Groups / Chapter VIII：

Central Series with Elementary Abelian Factors

Jennings' Theorem

Transitive Linear Groups

Some Number-Theoretical Lemmas

Lemmas on 2-Groups

Commutators and Bilinear Mappings

Suzuki 2-Groups

Lie Algebras

The Lie Ring Method and an Application

Regular Automorphisms

The Lower Central Series of Free Groups

Remarks on the Burnside Problem

Automorphisms of p-Groups

Notes on Chapter VIII

Linear Methods and Soluble Groups / Chapter IX：

Introduction

Hall and Higman's Theorem B

The Exceptional Case

Reduction Theorems for Burnside's Problem

Other Consequences of Theorem B

Fixed Point Free Automorphism Groups

p-Stability

Soluble Groups with One Class of Involutions

Notes on Chapter IX

Bibliography

Index of Names

Index

Local Finite Group Theory / Chapter X：

Elementary Lemmas

Groups of Order Divisible by at Most Two Primes

The J-Subgroup

Conjugate p-Subgroups

Characteristic p-Functors

Transfer Theorems

Maximal p-Factor Groups

Glauberman's K-Subgroups

Further Properties of J, ZJ and K

The Product Theorem for J

Local Methods and Cohomology

The Generalized Fitting Subgroup

The Generalized p'-Core

Applications of the Generalized Fitting Subgroup

Signalizer Functors and a Transitivity Theorem

Notes on Chapter X

Zassenhaus Groups / Chapter XI：

Elementary Theory of Zassenhaus Groups

Sharply Triply Transitive Permutation Groups

The Suzuki Groups

Exceptional Characters

Characters of Zassenhaus Groups

Feit's Theorem

Non-Regular Normal Subgroups of Multiply Transitive Permutation Groups

Real Characters

Zassenhaus Groups of Even Degree

Zassenhaus Groups of Odd Degree and a Characterization of PGL(2, 2^f)

The Characterization of the Suzuki Groups

Order Formulae

Survey of Ree Groups

Notes On Chapter XI

Multiply Transitive Permutation Groups / Chapter XII：

The Mathieu Groups

Transitive Extensions of Groups of Suzuki Type

Sharply Multiply Transitive Permutation Groups

On the Existence of 6- and 7-Fold Transitive Permutation Groups

A Characterization of M₁₁ and PSL(3, 3)

Multiply Homogeneous Groups

Doubly Transitive Soluble Permutation Groups

A Characterization of SL(2, 5)

Sharply Doubly Transitive Permutation Groups

Permutation Groups of Prime Degree

Notes on Chapter XII

Elements of General Representation Theory / Chapter VII：

Extension of the Ground-Field / 1：

Splitting Fields / 2：

The Number of Irreducible Modular Representations / 3：

Induced Modules / 4：

The Number of Indecomposable KG-Modules / 5：

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