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A270368
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a(n) = order of the n-th Zassenhaus nearfield.
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0
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OFFSET
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1,1
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COMMENTS
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Let p be a prime and G a subgroup of the general linear group GL(d,p) acting transitively on the nonzero vectors of the d-dimensional vector space (F(p))^d over the finite field F(p) with p elements. Assume that G contains a sharply transitive set. Then p^d is in the sequence and G is one of the seven finite sharply transitive linear groups of Zassenhaus (see "Sporadic finite transitive linear groups" in Wikipedia link).
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LINKS
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PROG
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(Magma) [ZassenhausNearfield(n): n in [1..7]];
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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