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math.GR2010
Nilpotency in automorphic loops of prime power order
Premysl Jedlicka, Michael Kinyon, Petr Vojtechovsky
A loop is automorphic if its inner mappings are automorphisms. Using so-called associated operations, we show that every commutative automorphic loop of odd prime power order is ce…
math.GR2010★ 6 cited
Searching for small simple automorphic loops
Kenneth W. Johnson, Michael Kinyon, Gabor Nagy +1
A loop is (right) automorphic if all its (right) inner mappings are automorphisms. Using the classification of primitive groups of small degrees, we show that there is no nonassoci…