02545nam 2200625 a 450 991048327700332120251117072608.09783540858188354085818010.1007/978-3-540-85818-8(CKB)1000000000546288(SSID)ssj0000679710(PQKBManifestationID)11399251(PQKBTitleCode)TC0000679710(PQKBWorkID)10624941(PQKB)11476698(DE-He213)978-3-540-85818-8(MiAaPQ)EBC3063523(PPN)131119427(EXLCZ)99100000000054628820090209d2009 uy 0engurnn|008mamaatxtccrLower central and dimension series of groups /Roman Mikhailov, Inder Bir Singh Passi1st ed. 2009.Berlin Springer20091 online resource (XXII, 352 p.) Lecture notes in mathematics,0075-8434 ;1952"ISSN electronic edition 1617-9692."9783540858171 3540858172 Includes bibliographical references and index.Lower Central Series -- Dimension Subgroups -- Derived Series -- Augmentation Powers -- Homotopical Aspects -- Miscellanea.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.Lecture notes in mathematics (Springer-Verlag) ;1952.Group theoryAlgebra, HomologicalGroup theory.Algebra, Homological.512.6510sdnbMAT 200fstubSI 850rvkMikhaĭlov Roman0Passi Inder Bir S.1939-58117MiAaPQMiAaPQMiAaPQBOOK9910483277003321Lower Central and Dimension Series of Groups774026UNINA