One-factorizations of complete graphs with a doubly transitive automorphism group

Peter J. Cameron, Gabor Korchmàros

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)

Abstract

It is shown that a 1-factorization of Kn with a doubly transitive automorphism group on vertices is either the affine line-parallelism of AG(d, 2), or one of three ‘sporadic’ examples with n = 6, 12 or 28. The full automorphism groups are respectively AGL (d, 2) (the holomorph of an elementary abelian group of order 2d), PGL(2, 5), PSL(2, 11) and ΡΓΤ(2, 8).

Original languageEnglish
Pages (from-to)1-6
Number of pages6
JournalBulletin of the London Mathematical Society
Volume25
Issue number1
DOIs
Publication statusPublished - 1 Jan 1993

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