The isomorphism problem for Coxeter groups

2005/06/28 by Bernhard Mühlherr, Mühlherr, Bernhard
Mathematics · #20F55 (primary) #51F55 (secondary) #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20F55 #msc:51F55

paper · pdf · doi:10.48550/arxiv.math/0506572

15 pages, 0 figures, to appear in 'The Coxeter Legacy: Reflections and Projections', Fields Institute Communications

arxiv created 2005/06/28 · arxiv updated 2009/12/01

Abstract

By a recent result obtained by R. Howlett and the author considerable progress has been made towards a complete solution of the isomorphism problem for Coxeter groups. In this paper we give a survey on the isomorphism problem and explain in particular how the result mentioned above reduces it to its `reflection preserving' version. Furthermore we desrcibe recent developments concerning the solution of the latter.

Related

• The Even Isomorphism Theorem for Coxeter Groups
• Quotient isomorphism invariants of a finitely generated Coxeter group
• Reflections in abstract Coxeter groups
• On non-conjugate Coxeter elements in well-generated reflection groups
• Représentations de réflexion de groupes de Coxeter Première partie: le cas irréductible