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Six Moufang Loops of Units

Published online by Cambridge University Press:  20 November 2018

Edgar G. Goodaire
Edgar G. Goodaire*
Affiliation:
Memorial University of Newfoundland, St. John's, Newfoundland, A1C 5S7, Email: [email protected]
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Abstract

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We compute the loops of units in the integral alternative loop rings of six Moufang loops. Four of these are subloops of the loop of matrices of determinant one in Zorn's vector matrix algebra over a ring of integers while the remaining two are closely related to this interesting algebra. This paper thus serves, in part, to highlight a Moufang analogue of SL(2, Z) which the author suggests is worthy of further study.

Keywords

Primary: 20N0517D05secondary: 16A25
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 5 , 01 October 1992 , pp. 951 - 973
Copyright
Copyright © Canadian Mathematical Society 1992

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