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On finite division rings with a designed automorphism group
Author(s) -
Combarro Elías F.,
Nicolás Alejandro P.,
Ranilla José,
Rúa I.F.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6167
Subject(s) - mathematics , automorphism , division (mathematics) , inner automorphism , outer automorphism group , pure mathematics , division algebra , group (periodic table) , algebra over a field , finite group , construct (python library) , automorphism group , algebra representation , arithmetic , computer science , chemistry , organic chemistry , programming language
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.