Generalization of fischer's theorem for distributive quasigroups

N. I. Sandu

Institute of Mathematics and Computation Center, Academy of Sciences of the Moldavian SSR

Abstract: We generalize Fischer's well-known theorem which asserts that the right associated group of a finite distributive quasigroup is solvable. We prove that the associated group of a finitely generated distributive quasigroup is solvable and that the associated group of any distributive quasigroup is locally solvable.

UDC: 519.48

Received: 28.06.1977

 English version: Mathematical Notes, 1978, 23:4, 285–287

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