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JSC
2007
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13 years 4 months ago
The Moufang loops of order 64 and 81
We classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic approach to central loop extensions. In addition to the 267 groups of order 64, there are ...
Gábor P. Nagy, Petr Vojtechovský
EJC
2006
13 years 4 months ago
Toward the classification of Moufang loops of order 64
We show how to obtain all nonassociative Moufang loops of order less than 64 and 4262 nonassociative Moufang loops of order 64 in a unified way. We conjecture that there are no oth...
Petr Vojtechovský