Abstract
It is well-known that the constructions and classification of non-Desarguesian projective planes are closely connected with ones for quasifields. We consider the problems on structure of finite quasifields and semifields: automorphisms and autotopisms, maximal subfields and their orders, the spectrum of orders of non-zero elements and hypotheses about generated subsets of the multiplicative loop.
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Levchuk, V.M., Kravtsova, O.V. Problems on structure of finite quasifields and projective translation planes. Lobachevskii J Math 38, 688–698 (2017). https://doi.org/10.1134/S1995080217040138
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DOI: https://doi.org/10.1134/S1995080217040138