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02582nam a22005535i 4500 |
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978-3-540-85818-8 |
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DE-He213 |
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20151204181822.0 |
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cr nn 008mamaa |
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100301s2009 gw | s |||| 0|eng d |
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|a 9783540858188
|9 978-3-540-85818-8
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|a 10.1007/978-3-540-85818-8
|2 doi
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|d GrThAP
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|a QA174-183
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|a PBG
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|a MAT002010
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|a 512.2
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|a Mikhailov, Roman.
|e author.
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|a Lower Central and Dimension Series of Groups
|h [electronic resource] /
|c by Roman Mikhailov, Inder Bir Singh Passi.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2009.
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|a XXII, 352 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1952
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|a Lower Central Series -- Dimension Subgroups -- Derived Series -- Augmentation Powers -- Homotopical Aspects -- Miscellanea.
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|a 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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|a Mathematics.
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| 650 |
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|a Associative rings.
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| 650 |
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|a Rings (Algebra).
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| 650 |
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|a Category theory (Mathematics).
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| 650 |
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|a Homological algebra.
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| 650 |
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|a Group theory.
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| 650 |
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|a Algebraic topology.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
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4 |
|a Group Theory and Generalizations.
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| 650 |
2 |
4 |
|a Category Theory, Homological Algebra.
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| 650 |
2 |
4 |
|a Algebraic Topology.
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| 650 |
2 |
4 |
|a Associative Rings and Algebras.
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| 700 |
1 |
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|a Passi, Inder Bir Singh.
|e author.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783540858171
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| 830 |
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1952
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| 856 |
4 |
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|u http://dx.doi.org/10.1007/978-3-540-85818-8
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-LNM
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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