Lower Central and Dimension Series of Groups [electronic resource] /by Roman Mikhailov, Inder Bir Singh Passi.
by Mikhailov, Roman [author.]; Passi, Inder Bir Singh [author.]; SpringerLink (Online service).
Material type:
BookSeries: Lecture Notes in Mathematics: 1952Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.Description: online resource.ISBN: 9783540858188.Subject(s): Mathematics | Algebra | Group theory | Algebraic topology | Mathematics | Group Theory and Generalizations | Category Theory, Homological Algebra | Algebraic Topology | Associative Rings and AlgebrasDDC classification: 512.2 Online resources: Click here to access online
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Springer eBooksSummary: 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.
Lower Central Series -- Dimension Subgroups -- Derived Series -- Augmentation Powers -- Homotopical Aspects -- Miscellanea.
| Item type | Current location | Call number | Status | Date due | Barcode |
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| MAIN LIBRARY | QA174-183 (Browse shelf) | Available |
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Lower Central Series -- Dimension Subgroups -- Derived Series -- Augmentation Powers -- Homotopical Aspects -- Miscellanea.
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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