For quadratic quasigroups over odd prime-power fields with a not equal to b, isotopism implies isomorphism and the autotopism group equals the automorphism group; for a=b the full autotopism group is determined explicitly.
Bounds on the number of autotopisms and subsquares of a Latin square
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Isotopisms of quadratic quasigroups
For quadratic quasigroups over odd prime-power fields with a not equal to b, isotopism implies isomorphism and the autotopism group equals the automorphism group; for a=b the full autotopism group is determined explicitly.