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Subgroup Lattices of Groups : de Gruyter Expositions in Mathematics - Roland Schmidt

Subgroup Lattices of Groups

de Gruyter Expositions in Mathematics

Hardcover Published: 1st August 1994
ISBN: 9783110112139
Number Of Pages: 587
For Ages: 22+ years old

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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 Ceara, 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)

Industry Reviews

"In the opinion of the reviewer the book is very well written - to wait for a new book in this area almost 40 years has proved to be worthwhile." Zentralblatt fur Mathematik

Preface
Notation
Fundamental conceptsp. 1
Modular lattices and abelian groupsp. 41
Complements and special elements in the subgroup lattice of a groupp. 114
Projectivities and arithmetic structure of finite groupsp. 157
Projectivities and normal structure of finite groupsp. 199
Projectivities and normal structure of infinite groupsp. 281
Classes of groups and their projectivitiesp. 343
Dualities of subgroup latticesp. 452
Further latticesp. 485
Bibliographyp. 542
Index of Namesp. 561
Index of Subjectsp. 564
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110112139
ISBN-10: 3110112132
Series: de Gruyter Expositions in Mathematics
Audience: General
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 587
Published: 1st August 1994
Country of Publication: DE
Dimensions (cm): 24.33 x 17.73  x 3.4
Weight (kg): 1.09

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