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035   $a(DE-He213)978-3-540-85818-8
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100   $a20100301d2009      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aLower Central and Dimension Series of Groups$b[electronic resource] /$fby Roman Mikhailov, Inder Bir Singh Passi
205   $a1st ed. 2009.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2009.
215   $a1 online resource (XXII, 352 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1952
300   $a"ISSN electronic edition 1617-9692."
311   $a3-540-85817-2 
320   $aIncludes bibliographical references and index.
327   $aLower Central Series -- Dimension Subgroups -- Derived Series -- Augmentation Powers -- Homotopical Aspects -- Miscellanea.
330   $aA fundamental object of study in group theory is the lower central series of groups. Understanding its relationship with the dimension series, which consists of the subgroups determined by the augmentation powers, is a challenging task. This monograph presents an exposition of different methods for investigating this relationship. In addition to group theorists, the results are also of interest to topologists and number theorists. The approach is mainly combinatorial and homological. A novel feature is an exposition of simplicial methods for the study of problems in group theory.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1952
606   $aGroup theory
606   $aCategory theory (Mathematics)
606   $aHomological algebra
606   $aAlgebraic topology
606   $aAssociative rings
606   $aRings (Algebra)
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035
606   $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019
606   $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027
615  0$aGroup theory.
615  0$aCategory theory (Mathematics).
615  0$aHomological algebra.
615  0$aAlgebraic topology.
615  0$aAssociative rings.
615  0$aRings (Algebra).
615 14$aGroup Theory and Generalizations.
615 24$aCategory Theory, Homological Algebra.
615 24$aAlgebraic Topology.
615 24$aAssociative Rings and Algebras.
676   $a512.6
686   $a510$2sdnb
686   $aMAT 200f$2stub
686   $aSI 850$2rvk
700   $aMikhailov$b Roman$4aut$4http://id.loc.gov/vocabulary/relators/aut$0315665
702   $aPassi$b Inder Bir Singh$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a996466518603316
996   $aLower Central and Dimension Series of Groups$92831924
997   $aUNISA