LEADER 03557nam 22007575 450 001 996466518603316 005 20200705015849.0 010 $a3-540-85818-0 024 7 $a10.1007/978-3-540-85818-8 035 $a(CKB)1000000000546288 035 $a(SSID)ssj0000679710 035 $a(PQKBManifestationID)11399251 035 $a(PQKBTitleCode)TC0000679710 035 $a(PQKBWorkID)10624941 035 $a(PQKB)11476698 035 $a(DE-He213)978-3-540-85818-8 035 $a(MiAaPQ)EBC3063523 035 $a(PPN)131119427 035 $a(EXLCZ)991000000000546288 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 LEADER 02136nam0 2200421 i 450 001 NAP0159650 005 20231121125559.0 100 $a19970402d1995 ||||0itac50 ba 101 | $aita 102 $ait 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $aSan Vincenzo al Volturno$edal Chronicon alla storia$fa cura di Gianfranco De Benedittis 210 $aIsernia$cC. Iannone$d1995 215 $a459 p., \1! c. di tav.$cill.$d26 cm 300 $aIn testa al front.: Istituto regionale per gli studi storici del Molise V. Cuoco 300 $aTrad. di Federico Marazzi, Marco D'Agostino 300 $aEd. f. c. 312 $aTit. sul dorso: San Vincenzo al Volturno dal Chronicon alla storia$9NAP0159655 517 1 $aSan Vincenzo al Volturno dal Chronicon alla storia. -$9NAP0159655 606 $aAbbazia di San Vincenzo al Volturno$2FIR$3RMLC350746$9I 606 $aMonastero di S. Vincenzo al Volturno$xStoria$xDocumenti$2FIR$3RMLC080403$9I 676 $a271.10457194$9CONGREGAZIONI E ORDINI RELIGIOSI NELLA STORIA DELLA CHIESA. BENEDETTINI. Isernia (prov.)$v21 702 1$aDe Benedittis$b, Gianfranco$3CFIV058602 712 02$aIstituto regionale per gli studi storici del Molise$3CFIV148459 791 02$aIstituto regionale per gli studi storici del Molise V. Cuoco$3CFIV148463$zIstituto regionale per gli studi storici del Molise 791 02$aIReSMo$3CFIV149479$zIstituto regionale per gli studi storici del Molise 801 3$aIT$bIT-01$c19970402 850 $aIT-RM028 $aIT-RM0281 $aIT-RM0151 $aIT-FR0017 899 $aBiblioteca Universitaria Alessandrina$bRM028 899 $aBIBLIOTECA VALLICELLIANA$bRM0281 899 $aBiblioteca Istituto Storico Italiano Medio Evo - I$bRM0151 899 $aBiblioteca umanistica Giorgio Aprea$bFR0017 912 $aNAP0159650 950 0$aBiblioteca umanistica Giorgio Aprea$d 52MAG 3/1007$e 52FLS0000209685 VMN RS $fA $h20130503$i20130503 977 $a 01$a 08$a 41$a 52 996 $aSan Vincenzo al Volturno$9626229 997 $aUNICAS