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The subgroup determined by a certain ideal in a free group ring

2015/08/18 by Roman Mikhailov, Inder Bir S. Passi, Mikhailov, Roman +1
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #math.AT #math.GR

paper · pdf · doi:10.48550/arxiv.1508.04400

7 pages

arxiv created 2015/08/18 · arxiv updated 2015/08/19

Abstract

For normal subgoups R and S of a free group F, an identification of the subgroup F∩ (1+\mathfrak r\mathfrak f\mathfrak s) is derived, and it is shown that the the quotient (F∩ (1+\mathfrak r\mathfrak f\mathfrak s))/([R'∩ S', R∩ S][R'∩ S, R'∩ S][R∩ S', R∩ S']) is, in general, non-trivial.

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