Simple quasigroups with commuting inner permutations are medial.
@article{118575,
author = {Tom\'a\v s Kepka and K. K. \v S\v cukin},
title = {Simple quasigroups whose inner permutations commute},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {34},
year = {1993},
pages = {223-227},
zbl = {0784.20035},
mrnumber = {1241731},
language = {en},
url = {http://dml.mathdoc.fr/item/118575}
}
Kepka, Tomáš; Ščukin, K. K. Simple quasigroups whose inner permutations commute. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 223-227. http://gdmltest.u-ga.fr/item/118575/
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