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 A270368 a(n) = order of the n-th Zassenhaus nearfield. 0
 25, 121, 49, 529, 121, 841, 3481 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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). LINKS Table of n, a(n) for n=1..7. Wikipedia, List of transitive finite linear groups PROG (Magma) [ZassenhausNearfield(n): n in [1..7]]; CROSSREFS Sequence in context: A124953 A126412 A078815 * A206472 A036057 A083509 Adjacent sequences: A270365 A270366 A270367 * A270369 A270370 A270371 KEYWORD nonn,more AUTHOR Arkadiusz Wesolowski, Mar 15 2016 STATUS approved

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Last modified December 7 01:49 EST 2023. Contains 367616 sequences. (Running on oeis4.)