Simple Moufang loops and Galois extensions

Details Simple Moufang loops and Galois extensions Simple Moufang loops and Galois extensions

2011-02-07

arxiv.org/abs/1102.1373v1

Mathematics

Rings and Algebras

14 pages

Scientific paper

The paper establishes an one-to-one correspondence between simple Moufang loops and Paige loops constructed over Galois extension over prime ?eld in its algebraic closure. Using this connection it describes fully the family of nonassociative ?nite simple Moufang loops.It describes the generators, the loop structure of subloops, the automorphism group of nonassociative simple Moufang loops.

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