Twisted conjugacy classes in general and special linear groups
β Scribed by T. R. Nasybullov
- Book ID
- 118794853
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 750 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0002-5232
No coin nor oath required. For personal study only.
π 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
The conjugacy classes of the finite general linear and unitary groups are used to define probability measures on the set of all partitions of all natural numbers. Probabilistic algorithms for growing random partitions according to these measures are obtained. These algorithms are applied to prove gr
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 IwahoriαHecke algeb