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• W1502848512 abstract "We study �finitely generated stably-free modules over infinite integral group algebras by using the language of cyclic algebras and relating it to well-knownresults in K-theory.For G a free or free abelian group and Q8n, the quaternionic group of order 8n, we show that there exist infinitely many isomorphically distinctstably-free modules of rank 1 over the integral group algebra of the groupGamma = Q8n x G whenever n admits an odd divisor.This result implies that the stable class of the augmentation ideal Omega{_1}Zdisplays infi�nite splitting at minimal level whenever G is the free abelian group on at least 2 generators. This is of relevance to low dimensional topology,in particular when computing homotopy modules of a cell complex with fundamental group Gamma." @default.
• W1502848512 created "2016-06-24" @default.
• W1502848512 creator A5019564614 @default.
• W1502848512 date "2010-10-28" @default.
• W1502848512 modified "2023-09-26" @default.
• W1502848512 title "Stably free modules over innite group algebras" @default.
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