Parabolic conjugacy in general linear groups
Goodwin, Simon M. and Roehrle, Gerhard (2006) Parabolic conjugacy in general linear groups. Journal of Algebraic Combinatorics (In Press).
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Description/Abstract
Let q be a power of a prime and n a positive integer. Let P(q)
be a parabolic subgroup of the finite general linear group
GL(n, q). We show that the number of P(q)-conjugacy classes in
GL(n, q) is, as a function of q, a polynomial in q with
integer coefficients. This answers a question of J. Alperin [1]
| Item Type: | Article |
|---|---|
| ISSNs: | 0925-9899 (print) |
| Related URLs: | |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| Item ID: | 45777 |
| Date Deposited: | 11 Apr 2007 |
| Last Modified: | 01 Jun 2011 04:39 |
| Contributors: | Goodwin, Simon M. (Author) Roehrle, Gerhard (Author) |
| Date: | December 2006 |
| Status: | In Press |
| Contact Email Address: | g.roehrle@soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/45777 |
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