Geodesic
Graphical Regular Representations of Non-Abelian Groups, II
Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1009-1018

Voir la notice de l'article provenant de la source Cambridge University Press

The present paper is a sequel to the previous paper bearing the same title by the same authors [3] and which will be hereafter designated by the bold-face Roman numeral I. Further results are obtained in determining whether a given finite non-abelian group G has a graphical regular representation. In particular, an affirmative answer will be given if (|G|, 6) = 1.Inasmuch as much of the machinery of I will be required in the proofs to be presented and a perusal of I is strongly recommended to set the stage and provide motivation for this paper, an independent and redundant introduction will be omitted in the interest of economy. 
Nowitz, Lewis A.; Watkins, Mark E. Graphical Regular Representations of Non-Abelian Groups, II. Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1009-1018. doi: 10.4153/CJM-1972-102-3
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[1] 1. Walter, Feit and John G., Thompson, Solvability of groups of odd order, Pacific J. Math. 13 (1963), 775–1029. Google Scholar

[2] 2. Marshall, Hall, Theory of groups (MacMillan, New York, 1959). Google Scholar

[3] 3. Lewis A., Nowitz and Mark E., Watkins, Graphical regular representations of non-abelian groups, I, Can. J. Math. 6 (1972), 1–16. Google Scholar

[4] 4. Mark E., Watkins, On the action of non-abelian groups on graphs, J. Combinatorial Theory 11 (1971), 95–104. Google Scholar

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