On local fusion graphs of finite Coxeter groups

DOI10.1515/jgt-2013-0008zbMath1284.20039OpenAlexW2051758155MaRDI QIDQ2869867

John J. Ballantyne

Publication date: 7 January 2014

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/2178/1/CoxeterGroupsJGTrevised.pdf

zbMATH Keywords

finite Coxeter groupsdiameterslocal fusion graphsconjugacy classes of involutionsnumbers of connected components

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (6)

On \(\pi\)-product involution graphs in symmetric groups ⋮ Covers of complete graphs and related association schemes ⋮ A note on computing involution centralizers. ⋮ Conjugate $p$-elements of full support that generate the wreath product $C_{p}wr C_{p}$ ⋮ Odd order products of conjugate involutions in linear groups over \(\mathrm{GF}(2^a)\) ⋮ Local fusion graphs and sporadic simple groups.

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