Generalised triangle groups of type (2,3,2) with no cyclic essential representations

James Howie*, Olexandr Konovalov

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review


A conjecture of Rosenberger asserts that every generalised triangle group either is virtually soluble or contains a non-abelian free subgroup. Modulo two exceptional cases, we verify this conjecture for generalised triangle groups of type (2,3,2) which do not admit essential representations onto the cyclic group of order 6.
Original languageEnglish
Title of host publicationFestschrift in honour of Gerhard Rosenberger's 80th birthday
Place of PublicationBerlin
Publisherde Gruyter
Publication statusAccepted/In press - 26 Mar 2024


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