On conjugacy classes of SL$(2,q)$

Edith Adan-Bante; John M. Harris

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arXiv · 0904.0450

On conjugacy classes of SL$(2,q)$

Edith Adan-Bante·John M. Harris

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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).

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BibTeX RIS

Edith Adan-Bante, John M. Harris. 2009-07-01. On conjugacy classes of SL$(2,q)$. https://arxiv.org/abs/0904.0450

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