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Quasiprimitivity and quasigroups

Published online by Cambridge University Press:  17 April 2009

J.D. Phillips  and
J.D.H. Smith
J.D. Phillips
Affiliation:
Department of MathematicsSaint Mary's CollegeMoraga, CA 94575, United States of America
J.D.H. Smith
Affiliation:
Department of MathematicsIowa State UniversityAmes, IA 50011, United States of America
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Abstract

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It is well known that Q is a simple quasigroup if and only if Mlt Q acts primitively on Q. Here we show that Q is a simple quasigroup if and only if Mlt Q acts quasiprimitively on Q, and that Q is a simple right quasigroup if and only if RMlt Q acts quasiprimitively on Q.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 473 - 475
Copyright
Copyright © Australian Mathematical Society 1999

References

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