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# A note on commuting Involution Graphs in Affine Coxeter Groups

Hart, Sarah and Sbeiti Clarke, A. (2018) A note on commuting Involution Graphs in Affine Coxeter Groups. Technical Report. Birkbeck, University of London, London, UK.

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## Abstract

Commuting involution graphs have been studied for finite Coxeter groups and for affine groups of classical type. The purpose of this short note is to establish some general results for commuting involution graphs in affine Coxeter groups, and to deal with types $\tilde F_4$ and $\tilde G_2$. Types $\tilde E_6$ $\tilde E_7$ and $\tilde E_8$ are more substantial and these will be addressed in a forthcoming paper.

Item Type: Monograph (Technical Report) Mathematical Sciences Preprint Series, #43 School of Business, Economics & Informatics > Economics, Mathematics and Statistics Sarah Hart 10 Sep 2018 08:36 15 Feb 2021 16:56 https://eprints.bbk.ac.uk/id/eprint/23831