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Automorphisms of Coxeter groups of rank three |
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| Authors: | W. N. Franzsen R. B. Howlett |
| Affiliation: | Australian Catholic University, 25A Barker Rd, Strathfield, New South Wales 2135, Australia ; School of Mathematics and Statistics, University of Sydney, New South Wales 2006, Australia |
| Abstract: | If |
| Keywords: | |
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is an infinite rank 
Coxeter group, whose Coxeter diagram has no infinite bonds, then the automorphism group of 
is generated by the inner automorphisms and any automorphisms induced from automorphisms of the Coxeter diagram. Indeed 
is the semi-direct product of 
and the group of graph automorphisms.