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Lower Central and Dimension...

Lower Central and Dimension Series of Groups

Mikhailov, Roman

Springer Berlin Heidelberg 2009

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 subgroups 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

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Mathematics Algebra Group theory Algebraic topology Mathematics Group Theory and Generalizations Category Theory, Homological Algebra Álgebraic Topology Associative Rings and Algebras

Monografía

monografia Rebiun16521925 https://catalogo.rebiun.org/rebiun/record/Rebiun16521925 100301s2009 gw | s |||| 0|eng d 9783540858188 978-3-540-85818-8 9783540858171 ed. impresa) UPNA0460763 UPNA0227084 CBUC 991008295039706706 CBUC 991004545239706706 UMA.RE Mikhailov, Roman Lower Central and Dimension Series of Groups Recurso electrónico] by Roman Mikhailov, Inder Bir Singh Passi Servicio en línea Berlin, Heidelberg Springer Berlin Heidelberg 2009 Berlin, Heidelberg Berlin, Heidelberg Springer Berlin Heidelberg digital Lecture Notes in Mathematics 0075-8434 1952 Preface -- Lower Central Series -- Dimension Subgroups -- Derived Series -- Augmentation Powers -- Homotopical Aspects -- Miscellanea -- Appendix (Simplicial Methods) -- Bibliography -- Index Acceso restringido a miembros del Consorcio de Bibliotecas Universitarias de Andalucía 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 subgroups 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 Modo de acceso: World Wide Web Springer Mathematics Algebra Group theory Algebraic topology Mathematics Group Theory and Generalizations Category Theory, Homological Algebra Álgebraic Topology Associative Rings and Algebras Passi, Inder Bir Singh SpringerLink (Online service) SpringerLink eBooks (Servicio en línea) Lecture Notes in Mathematics (Servicio en línea) Springer eBooks Springer eBooks

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monografia Rebiun16521925 https://catalogo.rebiun.org/rebiun/record/Rebiun16521925 100301s2009 gw | s |||| 0|eng d 9783540858188 978-3-540-85818-8 9783540858171 ed. impresa) UPNA0460763 UPNA0227084 CBUC 991008295039706706 CBUC 991004545239706706 UMA.RE Mikhailov, Roman Lower Central and Dimension Series of Groups Recurso electrónico] by Roman Mikhailov, Inder Bir Singh Passi Servicio en línea Berlin, Heidelberg Springer Berlin Heidelberg 2009 Berlin, Heidelberg Berlin, Heidelberg Springer Berlin Heidelberg digital Lecture Notes in Mathematics 0075-8434 1952 Preface -- Lower Central Series -- Dimension Subgroups -- Derived Series -- Augmentation Powers -- Homotopical Aspects -- Miscellanea -- Appendix (Simplicial Methods) -- Bibliography -- Index Acceso restringido a miembros del Consorcio de Bibliotecas Universitarias de Andalucía 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 subgroups 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 Modo de acceso: World Wide Web Springer Mathematics Algebra Group theory Algebraic topology Mathematics Group Theory and Generalizations Category Theory, Homological Algebra Álgebraic Topology Associative Rings and Algebras Passi, Inder Bir Singh SpringerLink (Online service) SpringerLink eBooks (Servicio en línea) Lecture Notes in Mathematics (Servicio en línea) Springer eBooks Springer eBooks