Titlebook: Lower Central and Dimension Series of Groups; Roman Mikhailov,Inder Bir Singh Passi Book 2009 Springer-Verlag Berlin Heidelberg 2009 DEX.G

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Augmentation Powers,Our main aim in this Chapter is to discuss certain (co)homological methods for the study of group rings, in particular the augmentation powers.

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Miscellanea,In this Chapter we present assorted examples involving the group ring construction.

Omniscient

Lower Central Series,t ordinal ., .(.) = ∩. .(.), where for subsets . of ., [.] denotes the subgroup of . generated by all commutators [.] := . = . . ∈ . ∈ .. The group . is said to be . if .(.) = 1 for some ordinal ., or simply . if . is a finite ordinal. In particular, if .(.) = 1, where . is the least infinite ordina

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Derived Series,ived series of free nilpotent groups. Our main aim in this Chapter, however, is the study of the transfinite terms of the derived series of groups. We give an account of the homological approach of R. Strebel [Str74]. The impact on the asphericity conjecture of J. H. C. Whitehead [Whi41] is also exp

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苦笑

Schlemms-Canal

PRO

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