39 citations · 76 across the 8 of their papers we have counts for
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math.GR2004★ 2 cited
Rectangular loops and rectangular quasigroups
Michael K. Kinyon, J. D. Phillips
We solve two problems posed by Krapež by finding a basis of seven independent axioms for the variety of rectangular loops. Six of these axioms form a basis for the variety of recta…
math.GR2004★ 39 cited
The structure of extra loops
Michael K. Kinyon, Kenneth Kunen
The Sylow theorems hold for finite extra loops, as does P. Hall's theorem for finite solvable extra loops. Every finite nonassociative extra loop has a nontrivial center, $Z(Q)…
math.GR2004★ 4 cited
Infinite Simple Bol Loops
Hubert Kiechle, Michael K. Kinyon
If the left multiplication group of a loop is simple, then the loop is simple. We use this observation to give examples of infinite simple Bol loops.