Automorphisms of Coxeter groups of rank three
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- by W. N. Franzsen and R. B. Howlett PDF
- Proc. Amer. Math. Soc. 129 (2001), 2607-2616 Request permission
Abstract:
If $W$ is an infinite rank $3$ Coxeter group, whose Coxeter diagram has no infinite bonds, then the automorphism group of $W$ is generated by the inner automorphisms and any automorphisms induced from automorphisms of the Coxeter diagram. Indeed $\operatorname {Aut}(W)$ is the semi-direct product of $\operatorname {Inn}(W)$ and the group of graph automorphisms.References
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Additional Information
- W. N. Franzsen
- Affiliation: Australian Catholic University, 25A Barker Rd, Strathfield, New South Wales 2135, Australia
- Email: b.franzsen@mary.acu.edu.au
- R. B. Howlett
- Affiliation: School of Mathematics and Statistics, University of Sydney, New South Wales 2006, Australia
- Email: R.Howlett@maths.usyd.edu.au
- Received by editor(s): December 1, 1999
- Received by editor(s) in revised form: January 31, 2000
- Published electronically: February 15, 2001
- Communicated by: Stephen D. Smith
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2607-2616
- MSC (2000): Primary 20F55
- DOI: https://doi.org/10.1090/S0002-9939-01-05878-6
- MathSciNet review: 1838783