Designing A Computer Program to Determine the Points and Planes in 3-Dimensional Projective Space
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The purpose of this work is to determine the points and planes of 3-dimensional projective space PG(3,2) over Galois field GF(q), q=2,3 and 5 by designing a computer program.
A. S. Al-Mukhtar, J.N. Jassim
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Seminuclear Extensions of Galois Fields
American Journal of Mathematics, 1960 Hughes, D. R., Kleinfeld, Erwin
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, 2010 Let K be a Galois number field of prime degree $\ell$. Heilbronn showed that for a given $\ell$ there are only finitely many such fields that are norm-Euclidean. In the case of $\ell=2$ all such norm-Euclidean fields have been identified, but for $\ell\neq 2$, little else is known. We give the first upper bounds on the discriminants of such fields when
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Applications of representation theory and of explicit units to Leopoldt's conjecture. [PDF]
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