The $k$-orbit theory and polycirculant conjecture

Abstract

The paper contains a proof of the conjecture of M. Klin and D. Maru$\breve{\mathrm{s}}$i$\breve{\mathrm{c}}$ 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

7 pages, Latex2e

References in corpus (1)

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