One-Factorizations of Complete Graphs with a Doubly Transitive Automorphism Group |
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| Authors: | Cameron Peter J; Korchmaros Gabor |
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| Institution: | School of Mathematical Sciences, Queen Mary and Westfield College Mile End Road, London El 4NS
Dipartimento di Matematica, Università degli Studi della Basilicata via N. Sauro 85, 85100 Potenza, Italy |
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| Abstract: | It is shown that a 1-factorization of Kn with a doubly transitiveautomorphism group on vertices is either the affine line-parallelismof AG(d, 2), or one of three ‘sporadic’ exampleswith n = 6, 12 or 28. The full automorphism groups are respectivelyAGL (d, 2) (the holomorph of an elementary abelian group oforder 2d), PGL(2,5), PSL(2,11) and P L(2,8). |
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