Bol loops of order pq-Reference-Cited by-同舟云学术

Bol loops of order pq

Published:1981-03 Issue:2 Volume:89 Page:241-256
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Niederreiter Harald,Robinson Karl H.

Abstract

AbstractThe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. Bol loops

2. Moufang loops of order p4;Leong;Nanta Math,1974

3. A note on Bol loops of order 2nk;Robinson;Aequationes Math

4. A Survey of Binary Systems

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