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Maximal order Abelian subgroups of Coxeter groups.
- 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]
- Subjects :
- COXETER groups
LIE groups
WEYL groups
COMPACT groups
MAXIMAL subgroups
LIE algebras
Subjects
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