The k-orbit theory and Fein-Kantor-Schacher Theorem
Aleksandr Golubchik
Abstract
By the investigation of k-orbits symmetry properties it is obtained a simple proof of the B. Fein, W. M. Kantor and M. Schacher Theorem: any transitive permutation group contains a non-trivial fixed-point-free prime-power element. Key words: k-orbits, partitions, permutations, symmetry, groups
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