Search results for "Permutation graph"

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Multiply Transitive Permutation Groups

1982

Since the beginnings of finite group theory, the multiply transitive permutation groups have exercised a certain fascination. This is mainly due to the fact that apart from the symmetric and alternating groups not many of them were known. Only very recently final results about multiply transitive permutation groups have been proved, using the classification of all finite simple groups (see 7.5).

Base (group theory)CombinatoricsTransitive relationFinite group theoryPermutation graphClassification of finite simple groupsPermutation groupCyclic permutationMathematics
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Finitary Representations and Images of Transitive Finitary Permutation Groups

1999

Abstract We characterize the point stabilizers and kernels of finitary permutation representations of infinite transitive groups of finitary permutations. Moreover, the number of such representations is determined.

Discrete mathematicshomomorphic imagesMathematics::CombinatoricsAlgebra and Number Theorypermutation groupsfinitary groupsBit-reversal permutationGeneralized permutation matrixPermutation groupCyclic permutationCombinatoricsMathematics::LogicPermutationwreath productsWreath productMathematics::Category TheoryComputer Science::Logic in Computer ScienceFinitaryPermutation graphMathematicsJournal of Algebra
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