Year: 2011
Type: preprint
Abstract: The paper establishes an one-to-one correspondence between simple Moufang loops and Paige loops constructed over Galois extension over prime field in its algebraic closure. Using this connection it describes fully the family of nonassociative finite simple Moufang loops.It describes the generators, the loop structure of subloops, the automorphism group of nonassociative simple Moufang loops.
Source: arXiv (Cornell University)
Author: Sandu, Nicolae
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1508683044