Regular Orbits of Linear Groups
β Scribed by Martin W. Liebeck
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 126 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
The study of regular orbits of linear groups plays an important role in representation theory, particularly that of solvable groups because a chief factor of a solvable group G is an irreducible G-module. If V is a Ε½ . G-module, recall that Β¨in V is in a regular orbit if C Β¨s 1, i.e., the G
For an integer \(m>2\), let \(L_{2}^{\langle-1\rangle}\left(\mathbb{Z}_{m}\right)\) be the group of \(2 \times 2\) matrices over \(\mathbb{Z}_{m}\) with determinants \(\pm 1\). Then for each subgroup \(H\) with \(\{ \pm 1\} \leqslant H \leqslant \operatorname{centre}\left(L_{2}^{(-1)}\left(\mathbb{Z
We prove the C Ξ± regularity of the gradient of weak solutions of a class of quasi-linear equations in nilpotent stratified Lie groups of step two. As applications, we prove higher regularity theorems and a Liouville type theorem for 1-quasi-conformal mappings between domains of the Heisenberg group.
In this paper a short proof is given of a theorem of M . Gromov in a particular case using a combinatorial argument .