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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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