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
Parabolic congruence subgroups in linear groups
β Scribed by N. A. Vavilov
- Publisher
- Springer US
- Year
- 1981
- Tongue
- English
- Weight
- 450 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let p be a prime number and let A be an elementary abelian p-group of rank m. The purpose of this paper is to determine a full system for the invariants of Ε½ . Ε½ . parabolic subgroups of the general linear group GL m, β«ήβ¬ in H \* A, β«ήβ¬ . A p p relation between these invariants and Dickson ones is a
Let q be an odd integer >3 and let G q be the Hecke group associated to q. Let ({) be a prime ideal of Z[\* q ] and G(q, {) the principal congruence subgroup of G q associated to {. We give a formula for [G q : G(q, {)], the index of the principal congruence subgroup G(q, {) in G q . We also give fo