𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


Squarefree Polynomials over Finite Field
✍ Peter Fleischmann 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 471 KB

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

Clifford classes for some overgroups of
✍ Alexandre Turull 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 256 KB

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

Presentations of the Special and General
✍ T.A. Francis 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 691 KB

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.