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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W. / Wilson, John S.

Managing Editor: Howie, James / Khukhro, Evgenii I. / Kramer, Linus

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Involution models of finite Coxeter groups

C. Ryan Vinroot1

1Department of Mathematics, The University of Arizona, 617 N Santa Rita Ave, Tucson, AZ 85721-0089, U.S.A. E-mail: vinroot@math.arizona.edu

Citation Information: Journal of Group Theory. Volume 11, Issue 3, Pages 333–340, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/JGT.2008.018, May 2008

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Let G be a finite Coxeter group. Using previous results on Weyl groups, and covering the cases of non-crystallographic groups, we show that G has an involution model if and only if all of its irreducible factors are of type A n, B n, D 2n+1, H 3, or I 2(n).

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