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Principal Loop-Isotopes of Quasigroups

Principal Loop-Isotopes of Quasigroups

If a quasigroup ( L , .) has finite order n , then there are n 2 principal loop-isotopes. Some of these n 2 loops may be isomorphic, and the main purpose of this paper is to obtain theorems that describe the isomorphism classes. Using these results and a computer, …