Automorphism groups of linear spaces and their parabolic subgroups
| Autor: | Yu Liu, Huiling Li |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
Discrete mathematics
p-group Parabolic subgroup Principal homogeneous space Finite linear space Outer automorphism group Primitive permutation group Line transitive Group of Lie type Theoretical Computer Science Combinatorics Subgroup Computational Theory and Mathematics Inner automorphism Homogeneous space Discrete Mathematics and Combinatorics Index of a subgroup Mathematics |
| Zdroj: | Journal of Combinatorial Theory, Series A. (1):1-11 |
| ISSN: | 0097-3165 |
| DOI: | 10.1016/j.jcta.2008.04.001 |
| Popis: | Suppose that an almost simple group G acts line transitively on a finite linear space S. Let G"x be a point stabilizer in G and suppose that G has socle T, a simple group of Lie type. In this paper we show that if [email protected]?G"x is a parabolic subgroup of T, then G is flag transitive on S. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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