On groups with several doubly-transitive permutation representations
β Scribed by Peter J. Cameron
- Publisher
- Springer-Verlag
- Year
- 1972
- Tongue
- French
- Weight
- 704 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
Each symplectic group over the field of two elements has two exceptional doubly transitive actions on sets of quadratic forms on the defining symplectic vector space. This paper studies the associated 2-modular permutation modules. Filtrations of these modules are constructed which have subquotients
A subgroup H of a group G is core-free if H contains no non-trivial normal subgroup of G, or equivalently the transitive permutation representation of G on the cosets of H is faithful. We study the obstacles to a group having large core-free subgroups. We call a subgroup D a ''dedekind'' subgroup of