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Automorphisms of Coxeter groups
Author:
Patrick Bahls
Journal:
Trans. Amer. Math. Soc. 358 (2006), 1781-1796
MSC (2000):
Primary 20F28, 20F55
Posted:
October 21, 2005
MathSciNet review:
2186996
Full-text PDF Free Access
Abstract |
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Abstract: We compute  for any even Coxeter group whose Coxeter diagram is connected, contains no edges labeled 2, and cannot be separated into more than 2 connected components by removing a single vertex. The description is given explicitly in terms of the given presentation for the Coxeter group and admits an easy characterization of those groups  for which  is finite.
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Additional Information
Patrick Bahls
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
Email:
pbahls@math.uiuc.edu
DOI:
http://dx.doi.org/10.1090/S0002-9947-05-03779-7
PII:
S 0002-9947(05)03779-7
Keywords:
Coxeter group,
group automorphism
Received by editor(s):
May 20, 2003
Received by editor(s) in revised form:
July 9, 2004
Posted:
October 21, 2005
Additional Notes:
The author was supported by an NSF VIGRE postdoctoral grant.
Article copyright:
© Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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