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Permutation representations of the finite classical groups of small degree or rank

โœ Scribed by William M Kantor


Book ID
107774391
Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
793 KB
Volume
60
Category
Article
ISSN
0021-8693

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Groups without Faithful Transitive Permu
โœ Lรกszlรณ Babai; Albert J. Goodman; Lรกszlรณ Pyber ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 328 KB

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