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001 978-3-540-85818-8
003 DE-He213
005 20190213151101.0
007 cr nn 008mamaa
008 100301s2009 gw | s |||| 0|eng d
020 _a9783540858188
_9978-3-540-85818-8
024 7 _a10.1007/978-3-540-85818-8
_2doi
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBG
_2thema
082 0 4 _a512.2
_223
100 1 _aMikhailov, Roman.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aLower Central and Dimension Series of Groups
_h[electronic resource] /
_cby Roman Mikhailov, Inder Bir Singh Passi.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _aXXII, 352 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1952
505 0 _aLower Central Series -- Dimension Subgroups -- Derived Series -- Augmentation Powers -- Homotopical Aspects -- Miscellanea.
520 _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.
650 0 _aGroup theory.
650 0 _aAlgebra.
650 0 _aAlgebraic topology.
650 1 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
650 2 4 _aCategory Theory, Homological Algebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11035
650 2 4 _aAlgebraic Topology.
_0http://scigraph.springernature.com/things/product-market-codes/M28019
650 2 4 _aAssociative Rings and Algebras.
_0http://scigraph.springernature.com/things/product-market-codes/M11027
700 1 _aPassi, Inder Bir Singh.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540858836
776 0 8 _iPrinted edition:
_z9783540858171
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1952
856 4 0 _uhttps://doi.org/10.1007/978-3-540-85818-8
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9461
_d9461