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The $k$-orbit theory and polycirculant conjecture

Aleksandr Golubchik
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Abstract

The paper contains a proof of the conjecture of M. Klin and D. Maru$\breve{\rm s}$i$\breve{\rm c}$ that an automorphism group of a transitive graph contains a permutation, decomposed in cycles of the same length. The proof is based on the $k$-orbit theory developed by author. Key words: $k$-orbits, partitions, permutations, symmetry, groups

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Aleksandr Golubchik. 2005-03-16. The $k$-orbit theory and polycirculant conjecture. https://arxiv.org/abs/math/0503334

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