Maximal Overgroups of Singer Elements in Classical Groups
✍ Scribed by Áron Bereczky
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 135 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, we use the results of a recent paper by Guralnick, Penttila, w Ž .
x Praeger, and Saxl Proc. London Math. Soc. 78 1999 , 167᎐214 to calculate an explicit list of the maximal overgroups of the Singer elements in the finite special linear, general unitary, special unitary, symplectic, and minus type orthogonal groups.
📜 SIMILAR VOLUMES
We compute conjugacy classes in maximal parabolic subgroups of the general linear group. This computation proceeds by reducing to a "matrix problem." Such problems involve finding normal forms for matrices under a specified set of row and column operations. We solve the relevant matrix problem in sm
A formation is a class 3 of groups which is closed under homomorphic images and is such that each group G has a unique smallest normal subgroup H with factor group in 5. This uniquely determined normal subgroup of G is called the 8-residual subgroup of G and will be denoted here by G,. The formatio
Let W be a finite Coxeter group and let F be an automorphism of W that leaves the set of generators of W invariant. We establish certain properties of elements of minimal length in the F-conjugacy classes of W that allow us to define character tables for the corresponding twisted Iwahori᎐Hecke algeb