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Maximal order Abelian subgroups of Coxeter groups.

Authors :
Burns, John M.
Pfeiffer, Goetz
Source :
Glasgow Mathematical Journal; Jan2023, Vol. 65 Issue 1, p114-120, 7p
Publication Year :
2023

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00170895
Volume :
65
Issue :
1
Database :
Complementary Index
Journal :
Glasgow Mathematical Journal
Publication Type :
Academic Journal
Accession number :
160650962
Full Text :
https://doi.org/10.1017/S0017089522000143