Published November 15, 1995
| public
Journal Article
Simple Connectivity of the Quillen Complex of GL_n(q)
- Creators
- Das, Kaustuv Mukul
Chicago
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Abstract
The structure of the Quillen complex of GL_n(q) at p, denoted A_p(GL_n(q)), is known when p is the characteristic prime, and when p|q − 1. In particular, in these cases, it is known that A_p(GL_n(q)) is simply connected whenever m_p(GL_n(q)) ≥ 3. In this paper it is shown that m_p(GL_n(q)) ≥ 3 implies A_p(GL_n(q)) is simply connected for all primes.
Additional Information
© 1995 Academic Press. Received June 14, 1994. The material in this paper forms part of my doctoral dissertation at the California Institute of Technology. It give great pleasure to thank my supervisor, M. Aschbacher, for his advice and guidance. I also thank R. Lawther. J. Saxi, Y. Segev and S. Smith for their helpful suggestions. Finally I thank the referee for pointing out several mistakes in the first draft of this paper.Additional details
- Eprint ID
- 81188
- DOI
- 10.1006/jabr.1995.1347
- Resolver ID
- CaltechAUTHORS:20170906-111901461
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2017-09-06Created from EPrint's datestamp field
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