Hart, Sarah and Clarke, A.S. (2018) Commuting Involution Graphs in Classical Affne Weyl Groups. Working Paper. Birkbeck, University of London, London, UK.
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Abstract
In this paper we investigate commuting involution graphs in classical affine Weyl groups. Let W be a classical Weyl group of rank n, with ~W its corresponding affine Weyl group. Our main result is that if X is a conjugacy class of involutions in ~W , then the commuting involution graph C( ~W ;X) is either disconnected or has diameter at most n + 2. This bound is known to hold for types A~n and C~n, so the main work of this paper is to prove the theorem for types ~Bn and ~Dn.
Metadata
| Item Type: | Monograph (Working Paper) |
|---|---|
| Additional Information: | Birkbeck Pure Mathematics Preprint Series #42 |
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Research Centres and Institutes: | Applied Macroeconomics, Birkbeck Centre for |
| Depositing User: | Administrator |
| Date Deposited: | 22 Mar 2019 09:58 |
| Last Modified: | 09 Aug 2023 12:46 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/26788 |
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