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Generalized dimension subgroups and derived functors

2015/06/06 by Roman Mikhailov, Inder Bir S. Passi, Mikhailov, Roman +1
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.AT #math.GR #math.RA

paper · pdf · doi:10.48550/arxiv.1506.02124

21 pages

arxiv created 2015/06/10 · arxiv updated 2015/06/11

Abstract

Every two-sided ideal \mathfrak a in the integral group ring \mathbb Z[G] of a group G determines a normal subgroup G ∩ (1 + \mathfrak a) of G. In this paper certain problems related to the identification of such subgroups, and their relationship with derived functors in the sense of Dold-Puppe, are discussed.

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