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[School of Mathematics and Statistics]
Algebra Seminar
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Sarah Perkins

Elements behaving badly in Coxeter groups.

Friday 28th, February 12:05-12:55pm, Stephen Roberts.

I will look at the effect of conjugating an element of a Coxeter Group W by a reflection. Can we guarantee that if w\in W does not have minimal (respectively maximal) length in its conjugacy class, then there exists a reflection s such that l(sws)< l(w) (respectively l(sws)>l(w))? I will concentrate on finite Coxeter groups, but I will discuss the infinite case if time permits.