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The $k$-orbit theory and Fein-Kantor-Schacher Theorem

Aleksandr Golubchik
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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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BibTeXRIS

Aleksandr Golubchik. 2005-09-29. The $k$-orbit theory and Fein-Kantor-Schacher Theorem. https://arxiv.org/abs/math/0502490

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