Group Actions of Some Subgroups of Parabolic Subgroups
β Scribed by Ming-chang Kang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 141 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0021-8693
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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
denote by A the subgroup of A generated by X. Such a group is called a X Ε½ . parabolic subgroup of A, βΊ . Let A be a parabolic subgroup with connected X associated Coxeter graph. We exhibit a generating set of the centralizer of A in X A. Moreover, we prove that there exists and such that the centr
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