Overgroups of Unitary Groups
β Scribed by Viktor Petrov
- Book ID
- 111597269
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 218 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0920-3036
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π SIMILAR VOLUMES
The natural module for Y will be denoted by W. If W is irreducible as an X-module, then β¦ will denote its T -high weight. We will always X Ε½ . Ε½ . Ε½ . assume that Y is the smallest of SL W , SO W , Sp W containing X. To justify this assumption, we must eliminate the situation when X -Y -Ε½ . Ε½ . Ε½ .
A permutation group is said to be quasiprimitive if all its non-trivial normal subgroups are transitive. We investigate pairs (G, H ) of permutation groups of degree n such that G H S n with G quasiprimitive and H primitive. An explicit classification of such pairs is obtained except in the cases wh
In this paper, we use the results of a recent paper by Guralnick, Penttila, w Ε½ . x Praeger, and Saxl Proc. London Math. Soc. 78 1999 , 167α214 to calculate an explicit list of the maximal overgroups of the Singer elements in the finite special linear, general unitary, special unitary, symplectic,