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math.GR2015
A Moufang loop with exceptional properties of associators
Ilya B. Gorshkov, Alexandre N. Grichkov, Andrei V. Zavarnitsine
We construct a Moufang loop of order and a pair of its elements such that the set of all elements of that associate with and does not form a subloop.…
math.GR2014★ 1 cited
Code loops: automorphisms and representations
Alexandre Grichkov, Rosemary M. Pires
In this work we construct free Moufang loop in the variety generated by code loops. We apply this construction for study the code loops. Moreover, we define and determine all basic…