# On pointwise conjugacy of distinguished coset representatives in Coxeter groups

Fleischmann, Peter (2002) On pointwise conjugacy of distinguished coset representatives in Coxeter groups. Journal of Group Theory, 5 (3). pp. 269-283. ISSN 1433-5883. (doi:10.1515/jgth.2002.002) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:522)

 The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication) Official URLhttp://dx.doi.org/10.1515/jgth.2002.002

## Abstract

Let (W, S) be a Coxeter system. For a standard parabolic. subgroup W-K,

representatives, i.e. representatives of cosets W(K)w of minimal

of W, then D-K and D-L = c(-1) D-K are in general not conjugate as

'pointwise', i.e. there is a bijection theta : D-K --> D-L such that

element of D-K. In particular for each conjugacy class C of W the

same. The case of infinite standard parabolic subgroups is also

discussed and a corresponding result is proved.

Item Type: Article 10.1515/jgth.2002.002 Subgroups Q Science > QA Mathematics (inc Computing science) Faculties > Sciences > School of Mathematics Statistics and Actuarial Science Judith Broom 19 Dec 2007 18:18 UTC 28 May 2019 13:35 UTC https://kar.kent.ac.uk/id/eprint/522 (The current URI for this page, for reference purposes)
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