Generalised triangle groups of type (3,5,2)

2011/02/10 by James Howie, Howie, James
Mathematics · #20E05 #20F05 #20F32 #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #msc:20E05 #msc:20F05 #msc:20F32

paper · pdf · doi:10.48550/arxiv.1102.2073

7 pages

arxiv created 2011/02/10 · openalex publication_date 2011/02/10 · arxiv updated 2011/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

If G is a group with a presentation of the form < x,y|x³=y⁵=W(x,y)²=1 >, then either G is virtually soluble or G contains a free subgroup of rank 2. This provides additional evidence in favour of a conjecture of Rosenberger.

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