Publication Date:
2008-01-01
Description:
If is a right-angled Coxeter system, then is a semidirect product of the group of symmetric automorphisms by the automorphism group of a certain groupoid. We show that, under mild conditions, is a semidirect product of by the quotient . We also give sufficient conditions for the compatibility of the two semidirect products. When this occurs there is an induced splitting of the sequence and consequently, all group extensions are trivial.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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