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Fibonacci varieties

Published online by Cambridge University Press:  17 April 2009

Ann Chi Kim
Ann Chi Kim
Affiliation:
Department of Mathematics, Busan National University, Busan, Korea.
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Abstract

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This is a report on a family of varieties of algebraic systems that are groups with an additional unary operation satisfying certain laws. The study was inspired by the theory of Fibonacci groups, and the free one-generator algebras of our varieties turn out to have, in fact, the abelianized Fibonnaci groups as their underlying groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 19 , Issue 2 , October 1978 , pp. 191 - 196
Copyright
Copyright © Australian Mathematical Society 1979

References

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