Geodesic
Maximal order Abelian subgroups of Coxeter groups
Glasgow mathematical journal, Tome 65 (2023) no. 1, pp. 114-120

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DOI

In this note, we give a classification of the maximal order Abelian subgroups of finite irreducible Coxeter groups. We also prove a Weyl group analog of Cartan’s theorem that all maximal tori in a connected compact Lie group are conjugate.
DOI : 10.1017/S0017089522000143
Mots-clés : Coxeter groups, Lie algebras, root systems 
Burns, John M.; Pfeiffer, Goetz. Maximal order Abelian subgroups of Coxeter groups. Glasgow mathematical journal, Tome 65 (2023) no. 1, pp. 114-120. doi: 10.1017/S0017089522000143
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     title = {Maximal order {Abelian} subgroups of {Coxeter} groups},
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     year = {2023},
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     doi = {10.1017/S0017089522000143},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000143/}
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