The $k$-orbit theory and polycirculant conjecture

Details The $k$-orbit theory and polycirculant conjecture The $k$-orbit theory and polycirculant conjecture

2005-03-16

arxiv.org/abs/math/0503334v1

Mathematics

General Mathematics

7 pages, Latex2e

Scientific paper

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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