publication . Article . 2014

Corrigendum to "Involution products in Coxeter groups" [J. Group Theory 14 (2011), no. 2, 251–259]

Hart, Sarah; Rowley, P.J.;
Open Access
  • Published: 01 Mar 2014 Journal: Journal of Group Theory, volume 17 (issn: 1433-5883, eissn: 1435-4446, Copyright policy)
  • Publisher: Walter de Gruyter GmbH
  • Country: United Kingdom
Abstract
In Involution products in Coxeter groups [J. Group Theory 14 (2011), no. 2, 251–259], Theorem 2.4 states a well-known result on Coxeter groups which gives conditions under which the stabilizer of a nonzero vector is a proper parabolic subgroup. However the hypothesis of this result is incorrectly stated in our paper: it holds for finite Coxeter groups but is not true in general for infinite Coxeter groups. We are grateful to an anonymous referee of a subsequent paper for pointing this out. As a consequence, the proof of Theorem 1.1 in that paper, which uses Theorem 2.4, is incomplete. Here we complete the proof of Theorem 1.1 without recourse to Theorem 2.4.
Subjects
arXiv: Mathematics::Group Theory
free text keywords: Algebra and Number Theory, ems
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