On conjugacy classes of SL$(2,q)$
Group Theory
2009-07-02 v2 Combinatorics
Abstract
Let SL(2,q) be the group of 2X2 matrices with determinant one over a finite field F of size q. We prove that if q is even, then the product of any two noncentral conjugacy classes of SL(2,q) is the union of at least q-1 distinct conjugacy classes of SL(2,q). On the other hand, if q>3 is odd, then the product of any two noncentral conjugacy classes of SL(2,q) is the union of at least (q+3)/2 distinct conjugacy classes of SL(2,q).
Keywords
Cite
@article{arxiv.0904.0450,
title = {On conjugacy classes of SL$(2,q)$},
author = {Edith Adan-Bante and John M. Harris},
journal= {arXiv preprint arXiv:0904.0450},
year = {2009}
}
Comments
11 pages. Added references, corrected typos, improved presentation