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arXiv · 1501.06997

On the full automorphism group of a Hamiltonian cycle system of odd order

Marco Buratti·Graham J. Lovegrove·Tommaso Traetta
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Abstract

It is shown that a necessary condition for an abstract group G to be the full automorphism group of a Hamiltonian cycle system is that G has odd order or it is either binary, or the affine linear group AGL(1; p) with p prime. We show that this condition is also sufficient except possibly for the class of non-solvable binary groups.

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Marco Buratti, Graham J. Lovegrove, Tommaso Traetta. 2015-01-28. On the full automorphism group of a Hamiltonian cycle system of odd order. https://arxiv.org/abs/1501.06997

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