Problems on structure of finite quasifields and projective translation planes

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 spectru...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2017-07, Vol.38 (4), p.688-698
Main Authors: Levchuk, V. M., Kravtsova, O. V.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Automorphisms
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Planes
Probability Theory and Stochastic Processes
Well construction
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Summary: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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080217040138