Groups without Faithful Transitive Permu
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László Babai; Albert J. Goodman; László Pyber
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Article
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1997
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Elsevier Science
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English
⚖ 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