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

2010/12/13 by James Howie, Howie, James
Mathematics · #20F05 #20F06 #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #msc:20F05 #msc:20F06

paper · pdf · doi:10.48550/arxiv.1012.2763

19 pages, 4 figures, 2 tables, GAP code listing attached

arxiv created 2010/12/13 · openalex publication_date 2010/12/13 · arxiv updated 2010/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If G is a group with a presentation of the form < x,y|x³=y³=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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