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Results tagged with reflection-groups
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user 37942
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Centralizers of reflections in special subgroups of Coxeter groups
I believe I finally found a proof. Surprisingly it does only use standard facts on Coxeter-groups (exchange condition, solving the word problem via braid-moves,...).
Let me first make the notation a …
6
votes
2
answers
481
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Centralizers of reflections in special subgroups of Coxeter groups
Let us consider a (not necessarily finite) Coxeter group $W$ generated by a finite set of involutions $S=\{s_1,...,s_n\}$ subject (as usual) to the relations $(s_is_j)^{m_{i,j}}$ with $m_{i,j}=m_{j,i} …