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Overgroups of Unitary Groups

✍ 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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πŸ“œ SIMILAR VOLUMES


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✍ Ben Ford πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 475 KB

The natural module for Y will be denoted by W. If W is irreducible as an X-module, then ␦ will denote its T -high weight. We will always X Ž . Ž . Ž . 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 -Ž . Ž . Ž .

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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

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In this paper, we use the results of a recent paper by Guralnick, Penttila, w Ž . x Praeger, and Saxl Proc. London Math. Soc. 78 1999 , 167᎐214 to calculate an explicit list of the maximal overgroups of the Singer elements in the finite special linear, general unitary, special unitary, symplectic,