Subgroup lattices of groups / by Roland Schmidt.

Format:

Book

Author/Creator:

Schmidt, Roland, 1944-

Series:

De Gruyter expositions in mathematics ; 14.

De Gruyter expositions in mathematics ; 14

Language:

English

Subjects (All):

Group theory.

Lattice theory.

Physical Description:

xv, 572 p. : ill.

Place of Publication:

Berlin ; New York : W. de Gruyter, 1994.

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

Preface

Notation

Chapter 1 Fundamental concepts

Chapter 2 Modular lattices and abelian groups

Chapter 3 Complements and special elements in the subgroup lattice of a group

Chapter 4 Projectivities and arithmetic structure of finite groups

Chapter 5 Projectivities and normal structure of finite groups

Chapter 6 Projectivities and normal structure of infinite groups

Chapter 7 Classes of groups and their projectivities

Chapter 8 Dualities of subgroup lattices

Chapter 9 Further lattices

Bibliography

Index of Names

Index of Subjects

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 542-559) and indexes.

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

ISBN:

9783110868647

3110868644

OCLC:

979588641