most citedVisual Decompositions of Coxeter Groups

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math.GR2007

On the rank of a Coxeter group

Michael L. Mihalik, John G. Ratcliffe

Let W be a Coxeter group with Coxeter generators S. The rank of the Coxeter system (W,S) is the cardinality |S| of S. The Coxeter system (W,S) has finite rank if and only if W is f…

math.GR2007★ 2 cited

Visual Decompositions of Coxeter Groups

Michael L. Mihalik, Steven Tschantz

A Coxeter system is an ordered pair (W,S) where S is the generating set in a particular type of presentation for the Coxeter group W. A subgroup of W is called special if it is gen…

math.GR2004

The Even Isomorphism Theorem for Coxeter Groups

Michael L. Mihalik

We prove the even isomorphism theorem for Coxeter groups