Problems on structure of finite quasifields and projective translation planes
- Authors: Levchuk V.M.1, Kravtsova O.V.1
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Affiliations:
- Siberian Federal University
- Issue: Vol 38, No 4 (2017)
- Pages: 688-698
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199638
- DOI: https://doi.org/10.1134/S1995080217040138
- ID: 199638
Cite item
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.
Keywords
About the authors
V. M. Levchuk
Siberian Federal University
Author for correspondence.
Email: vlevchuk@sfu-kras.ru
Russian Federation, Svobodnyi pr. 79, Krasnoyarsk, 660041
O. V. Kravtsova
Siberian Federal University
Email: vlevchuk@sfu-kras.ru
Russian Federation, Svobodnyi pr. 79, Krasnoyarsk, 660041