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Since the work of Sela, and Kharlampovich & Myasnikov on Tarski’s problem for non-abelian free groups, the model theoretic analysis of classes of groups arising from combinatorial and geometric group ...
In the study of a mathematical system, algebraic structures allow for the discovery of more information. This is the motor behind the success of many areas of mathematics such as algebraic geometry,...
In this paper, we consider the automorphism groups of the Cayley graph with respect to the Coxeter generators and the Davis complex of an arbitrary Coxeter group. We determine for which Coxeter groups...
Abstract: We show that Lusztig's $a$-function of a Coxeter group is bounded if the rank of the Coxeter group is 3.
Cells in Coxeter groups I      Cells  Coxeter groups I        2011/1/17
In their seminal paper [KL1] Kazhdan and Lusztig introduced the notion of cells.These are equivalence classes in a Coxeter group W and corresponding Hecke algebra H that can be defined combinatorially...

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