Parastrophes of quasigroups
classification
🧮 math.RA
keywords
classesparastrophesnumberquasigroupsalwayscharacterizeconjugatescontaining
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Parastrophes (conjugates) of a quasigroup can be divided into separate classes containing isotopic parastrophes. We prove that the number of such classes is always 1, 2, 3 or 6. Next we characterize quasigroups having a fixed number of such classes.
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