On finite division rings with a designed automorphism group |
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| Authors: | Elías F. Combarro Alejandro P. Nicolás José Ranilla I.F. Rúa |
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| Affiliation: | 1. Computer Science Department, University of Oviedo, Asturias, Spain;2. Mathematics Department, University of Oviedo, Asturias, Spain |
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| Abstract: | Nonassociative algebra plays a fundamental role in the description of physical systems. Symmetry is related to the transformations of these algebras, which are controlled by their automorphisms group. Starting from the known structure of finite division rings with 64 elements, we construct some nonassociative finite division algebra of Orders 256 and 512 with a designed automorphism group. |
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| Keywords: | automorphism group finite semifield projective planes |
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