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E-book
Author Mikhailov, Roman

Title Lower central and dimension series of groups / Roman Mikhailov, Inder Bir Singh Passi
Published Berlin : Springer, ©2009

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Description 1 online resource (xxi, 346 pages) : illustrations
Series Lecture notes in mathematics, 0075-8434 ; 1952
Lecture notes in mathematics (Springer-Verlag) ; 1952.
Contents Preface -- Lower Central Series -- Dimension Subgroups -- Derived Series -- Augmentation Powers -- Homotopical Aspects -- Miscellanea -- Appendix (Simplicial Methods) -- Bibliography -- Index
Summary Review: "A fundamental object of study in group theory is the lower central series of groups. Understanding its relationship with the dimension series, which consists of the sub-groups determined by the augmentation powers, is a challenging task. This monograph presents an exposition of different methods for investigating this relationship. In addition to group theorists, the results are also of interest to topologists and number theorists. The approach is mainly combinatorial and homological. A novel feature is an exposition of simplicial methods for the study of problems in group theory."--Jacket
Bibliography Includes bibliographical references (pages 331-341) and index
Notes Print version record
In Springer eBooks
Subject Group theory.
Algebra, Homological.
Algebra.
algebra.
Algebra, Homological.
Group theory.
Algebra, Homological
Group theory
Reihe Gruppentheorie
Théorie des groupes.
Algèbre homologique.
Form Electronic book
Author Passi, Inder Bir S., 1939-
ISBN 9783540858188
3540858180
9783540858171
3540858172
9788354085812
8354085813