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Finite Bol loops: III

Published online by Cambridge University Press:  24 October 2008

R. P. Burn
R. P. Burn
Affiliation:
Homerton College, Cambridge
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Extract

In this paper we prove that for any odd prime p, a Moufang loop of order 2p2 is a group and there is exactly one non-associative right Bol loop of order 2p2.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 2 , March 1985 , pp. 219 - 223
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

[1]Burn, R. P.. Finite Bol loops. Math. Proc. Cambridge Philos. Soc. 84 (1978), 377–385.CrossRefGoogle Scholar
[2]Burn, R. P.. Finite Bol loops: II. Math. Proc. Cambridge Philos. Soc. 88 (1981), 445–455.CrossRefGoogle Scholar
[3]Chein, O.. Moufang loops of small order. A.M.S. Memoirs 197 (1978).Google Scholar
[4]Glauberman, G.. On loops of odd order: II. J. Algebra 8 (1968), 393–414.Google Scholar