The Multiplicative Automorphisms of a Finite Nearfield, with an Application

Karin-Therese Howell; Timothy Boykett

doi:10.48550/arXiv.1602.00231

The Multiplicative Automorphisms of a Finite Nearfield, with an Application

Karin-Therese Howell, Timothy Boykett

Institute for Algebra

Research output: Working paper and reports › Preprint

Abstract

In this paper we look at the automorphisms of the multiplicative group of finite nearfields. We find partial results for the actual automorphism groups. We find 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.

Original language	English
Number of pages	14
DOIs	https://doi.org/10.48550/arXiv.1602.00231
Publication status	Published - Apr 2015

Publication series

Name	arXiv.org
ISSN (Print)	2331-8422

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101013 Mathematical logic
102031 Theoretical computer science

JKU Focus areas

Computation in Informatics and Mathematics
Engineering and Natural Sciences (in general)

Access to Document

10.48550/arXiv.1602.00231

Cite this

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