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math.GR2017
Automorphic loops arising from module endomorphisms
Alexandr Grishkov, Marina Rasskazova, Petr Vojtěchovský
A loop is automorphic if all its inner mappings are automorphisms. We construct a large family of automorphic loops as follows. Let be a commutative ring, an -module, $E…
math.GR2017★ 4 cited
On the commutative center of Moufang loops
Alexander N. Grishkov, Andrei V. Zavarnitsine
We construct two infinite series of Moufang loops of exponent whose commutative center (i.e. the set of elements that commute with all elements of the loop) is not a normal sub…