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- W2167984275 abstract "We consider the problem of determining the maximum possible out-degree d ( n ) of a digraph on n vertices which admits a sharply edge-transitive group. We show that d(n) ⩾ cn log log n for every n , while d(n) = 1 2 n infinitely often. Also, d ( n ) = n − 1 if and only if n is a prime power, whereas for non-prime-power values of n , we show that n − d ( n ) tends to infinitely with n . The question has interesting group-theoretic aspects. This and related problems generalise the existence question for projective planes." @default.
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- W2167984275 date "1981-12-01" @default.
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- W2167984275 title "On sharply edge-transitive permutation groups" @default.
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- W2167984275 doi "https://doi.org/10.1016/0021-8693(81)90336-7" @default.
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