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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Generating sets
for compact semisimple Lie groups


Author: Michael Field
Journal: Proc. Amer. Math. Soc. 127 (1999), 3361-3365
MSC (1991): Primary 22E15
Published electronically: May 4, 1999
MathSciNet review: 1618662
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Abstract: Let $\Gamma$ be a compact connected semisimple Lie group. We prove that the subset of $\Gamma^2$ consisting of pairs $(g, h)$ which topologically generate $\Gamma$ is Zariski open.


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Additional Information

Michael Field
Email: mf@uh.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04959-X
PII: S 0002-9939(99)04959-X
Received by editor(s): September 24, 1997
Received by editor(s) in revised form: January 20, 1998
Published electronically: May 4, 1999
Additional Notes: This research was supported in part by NSF Grant DMS-1551704 and Texas Advanced Research Program Award 1127681
Communicated by: Roe W. Goodman
Article copyright: © Copyright 1999 American Mathematical Society