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A270368
a(n) = order of the n-th Zassenhaus nearfield.
1
25, 121, 49, 529, 121, 841, 3481
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).
PROG
(Magma) [ZassenhausNearfield(n): n in [1..7]];
CROSSREFS
See A374524 for another version.
Sequence in context: A124953 A126412 A078815 * A206472 A036057 A083509
KEYWORD
nonn,more
AUTHOR
STATUS
approved