On sofic groups

2003/05/25 by G. Elek, Elek, G., E. Szabo +1
Mathematics · #20E06 #43A07 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20E06 #msc:43A07

paper · pdf · doi:10.48550/arxiv.math/0305352

11 pages

arxiv created 2003/05/25 · arxiv updated 2009/11/30

Abstract

Answering some queries of Weiss, we prove that the free product and amenable extensions of sofic groups are sofic as well, and give an example of a finitely generated sofic group that is not residually amenable.

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