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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…
math.GR1992
The 1-, 2-, and 3-characters determine a group
Hans-Jürgen Hoehnke, Kenneth W. Johnson
A set of invariants for a finite group is described. These arise naturally from Frobenius' early work on the group determinant and provide an answer to a question of Brauer. Wherea…