Lower central and dimension series of groups

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...

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Detalles Bibliográficos
Autores principales: Mikhailov, Roman, Passi, Inder Bir Singh
Lenguaje:eng
Publicado: Springer 2009
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-85818-8
http://cds.cern.ch/record/1691730
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author Mikhailov, Roman
Passi, Inder Bir Singh
author_facet Mikhailov, Roman
Passi, Inder Bir Singh
author_sort Mikhailov, Roman
collection CERN
description 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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publishDate 2009
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spelling cern-16917302021-04-21T21:07:32Zdoi:10.1007/978-3-540-85818-8http://cds.cern.ch/record/1691730engMikhailov, RomanPassi, Inder Bir SinghLower central and dimension series of groupsMathematical Physics and MathematicsA 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.Springeroai:cds.cern.ch:16917302009
spellingShingle Mathematical Physics and Mathematics
Mikhailov, Roman
Passi, Inder Bir Singh
Lower central and dimension series of groups
title Lower central and dimension series of groups
title_full Lower central and dimension series of groups
title_fullStr Lower central and dimension series of groups
title_full_unstemmed Lower central and dimension series of groups
title_short Lower central and dimension series of groups
title_sort lower central and dimension series of groups
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-540-85818-8
http://cds.cern.ch/record/1691730
work_keys_str_mv AT mikhailovroman lowercentralanddimensionseriesofgroups
AT passiinderbirsingh lowercentralanddimensionseriesofgroups

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