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Bol loops of order pq

Published online by Cambridge University Press:  24 October 2008

Harald Niederreiter  and
Karl H. Robinson
Harald Niederreiter
Affiliation:
University of the West Indies, Kingston, Jamaica
Karl H. Robinson
Affiliation:
University of the West Indies, Kingston, Jamaica
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Abstract

The main results of this paper show that for any odd primes p and q with q dividing p2 − 1 there exist non-associative Bol loops of order pq. The construction is sufficiently flexible so as to allow the resulting loops to be either Bruck loops or non-Bruck loops. It also permits the determination of isotopy classes among the loops constructed. All Bol loops of order 15 are determined.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 89 , Issue 2 , March 1981 , pp. 241 - 256
Copyright
Copyright © Cambridge Philosophical Society 1981

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References

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