Let F be a one–factorization of K_2m and let H be an automorphism group of F acting sharply transitively on the vertices of K_2m. Let G be a group having H as a subgroup of index 2. We give a sufficient condition for the existence of a one–factorization of K_4m which doubles the original one-factorization F and admits G as an automorphism group acting sharply transitively on vertices.
Starters: Doubling Constructions / Bonvicini, Simona. - In: BULLETIN OF THE INSTITUTE OF COMBINATORICS AND ITS APPLICATIONS. - ISSN 1183-1278. - STAMPA. - 46:(2006), pp. 88-98.
Starters: Doubling Constructions
BONVICINI, Simona
2006
Abstract
Let F be a one–factorization of K_2m and let H be an automorphism group of F acting sharply transitively on the vertices of K_2m. Let G be a group having H as a subgroup of index 2. We give a sufficient condition for the existence of a one–factorization of K_4m which doubles the original one-factorization F and admits G as an automorphism group acting sharply transitively on vertices.
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