- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (3)
- Authors
- Levchuk, Vladimir M.; Shtukkert, Polina K.
- Contact information
- Levchuk, Vladimir M.:Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia;Vladimir M. Levchuk; Shtukkert, Polina K.:Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia; Poli422@yandex.ru
- Keywords
- projective translation plane; quasifield; semifield; multiplicative loop; orders of elements
- Abstract
Well-known method of the construction of finite projective translation planes (analogously, semifield planes) uses their correspondence with quasifields (resp., semifields). We distinguish certain questions on the structure of any finite quasifield (possible maximal subfields, the property of cyclicity of multiplicative loop of non-zero elements and possible orders of elements). In the present paper we discover some anomalous properties of finite quasifields of small even orders
- Pages
- 362–372
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/13275
Journal of Siberian Federal University. Mathematics & Physics / Problems on Structure for Quasifields of Orders 16 and 32
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