%I #9 Sep 08 2022 08:46:16
%S 25,121,49,529,121,841,3481
%N a(n) = order of the nth Zassenhaus nearfield.
%C 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 ddimensional 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).
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/List_of_transitive_finite_linear_groups">List of transitive finite linear groups</a>
%o (Magma) [ZassenhausNearfield(n): n in [1..7]];
%K nonn,more
%O 1,1
%A _Arkadiusz Wesolowski_, Mar 15 2016
