Abstract reflections and Coxeter groups

David M. Goldschmidt

Type: Article

Publication Date: 1977-01-01

Citations: 5

DOI: https://doi.org/10.1090/s0002-9939-1977-0463328-2

Abstract

A notion of “abstract reflection” is introduced and used to characterize the Coxeter groups. Several known results on Coxeter groups are obtained as easy corollaries.

Locations

Proceedings of the American Mathematical Society - View - PDF

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Works That Cite This (5)

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+	On rigidity of abstract root systems of Coxeter systems	2010	Matthew Dyer
+	A Combinatorial Characterization of Coxeter Groups	2009	Mario Marietti
+	BN-pairs and finite groups with parabolic-type subgroups	1982	Richard Niles
+	On conjugacy of abstract root bases of root systems of Coxeter groups	2018	Matthew Dyer
+	The topological version of groups generated by reflections	1981	Eldar Straume

Works Cited by This (3)

Action	Title	Year	Authors
+ PDF Chat	Buildings of Spherical Type and Finite BN-Pairs	1974	Jacques Tits
+	Groupes et algèbres de Lie	1971	Nicolás Bourbaki
+	The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1	1935	H. S. M. Coxeter