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Six Moufang Loops of Units
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1992
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