Skip to content

Research at St Andrews

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

Research output: Working paper


A conjecture of Roseberger 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
Number of pages37
Publication statusPublished - 2016

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by author

  1. How to learn GAP - an open source software system for discrete computational mathematics

    Konovalov, A. & Torpey, M. C., Jan 2019.

    Research output: Contribution to conferencePoster

  2. On skew braces and their ideals

    Konovalov, A., Smoktunowicz, A. & Vendramin, L., 22 Dec 2018, In : Experimental Mathematics. Latest Articles, 10 p.

    Research output: Contribution to journalArticle

  3. LAGUNA - Lie AlGebras and UNits of group Algebras, Version 3.9.1 (Refereed GAP package)

    Bovdi, V., Konovalov, A., Rossmanith, R. & Schneider, C., 30 Nov 2018

    Research output: Non-textual formSoftware

  4. Wedderga - Wedderburn Decomposition of Group Algebras, Version 4.9.5 (Refereed GAP package)

    Bakshi, G. K., Cristo, O. B., Herman, A., Konovalov, A., Maheshwary, S., Olivieri, A., Olteanu, G., del Río, Á. & Van Gelder, I., 30 Nov 2018

    Research output: Non-textual formSoftware

  5. Software Carpentry: Programming with GAP: Version 2.0

    Software Carpentry team, 13 Nov 2018, Zenodo.

    Research output: Other contribution

ID: 257429793