Timothy Boykett, Karin-Therese Howell,
"The Multiplicative Automorphisms of a Finite Nearfield, with an Application"
, in Communications in Algebra, Vol. 44, Nummer 6, Seite(n) 2336-2350, 2016
The Multiplicative Automorphisms of a Finite Nearfield, with an Application
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In this article, we look at the automorphisms of the multiplicative group of finite nearfields. We find partial results for the actual automorphism groups and use counting techniques for the size of all finite nearfields. We then show that these results can be used in order to count the number of near vector spaces of a given dimension over a given nearfield, up to isomorphism.