Let G be PS¸L(q), PSº L (q), Sp L (q) or PSp L (q), where q is a power of the prime p. Using results on the numbers of special squarefree polynomials over finite fields, we describe and count the conjugacy classes of p-elements with abelian centralizers in G. Similar results are obtained for the sem
The number of regular semisimple classes of special linear and unitary groups
✍ Scribed by P. Fleischmann; I. Janiszczak; R. Knörr
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 495 KB
- Volume
- 274
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In [A. Turull, J. Algebra 235 (2001), 275-314], we calculated the Schur index of each of the irreducible characters of the finite special linear groups. In the present paper, we calculate the Schur index of all the irreducible characters of some overgroups of the special linear groups. The overgroup
If \(R\) is a division ring and \(n \geq 2\), then we give an elegant, basis free, presentation for the general linear group \(G L_{n}(R)\) in terms of transvections and dilations. In case \(R\) is a field, we give a similar presentation for \(S L_{n}(R)\), but now purely in terms of transvections.