Finite Soluble Groups / Klaus Doerk, Trevor O. Hawkes.

Format:

Book

Author/Creator:

Doerk, Klaus, author.

Hawkes, Trevor O., author.

Series:

De Gruyter Expositions in Mathematics

De Gruyter Expositions in Mathematics ; 4

Language:

English

Subjects (All):

Finite groups.

Solvable groups.

Physical Description:

1 online resource (910 p.)

Edition:

Reprint 2011

Place of Publication:

Berlin ; Boston : De Gruyter, [2011]

Language Note:

English

Summary:

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair , Universidade Federal do Cear , Fortaleza, Brasil Walter D. Neumann , Columbia University, New York, USA Markus J. Pflaum , University of Colorado, Boulder, USA Dierk Schleicher , Jacobs University, Bremen, Germany Katrin Wendland , University of Freiburg, Germany Honorary Editor Victor P. Maslov , Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups , Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Contents:

Frontmatter

Chapter A Prerequisites - general group theory

Chapter Β Prerequisites - representation theory

Chapter I. Introduction to soluble groups

Chapter II Classes of groups and closure operations

Chapter III. Projectors and Schunck classes

Chapter IV. The theory of formations

Chapter V. Normalizers

Chapter VI. Further theory of Schunck classes

Chapter VII. Further theory of formations

Chapter VIII. Injectors and Fitting sets

Chapter IX. Fitting classes - examples and properties related to injectors

Chapter X. Fitting classes - the Lockett section

Chapter XI. Fitting classes - their behaviour as classes of groups

Appendix α. A theorem of Oates and Powell

Appendix β. Frattini extensions

Bibliography

List of Symbols

Index of Subjects

Index of Names

Backmatter

Notes:

Description based upon print version of record.

Includes bibliographical references (pages [855]-870) and indexes.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9783110870138

3110870134

OCLC:

922947319