This article is cited in 1 scientific paper (total in 1 paper)
Problems on structure for quasifields of orders $16$ and $32$
Vladimir M. Levchuk, Polina K. Shtukkert
Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
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.
projective translation plane, quasifield, semifield, multiplicative loop, orders of elements.
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Received in revised form: 10.06.2014
Vladimir M. Levchuk, Polina K. Shtukkert, “Problems on structure for quasifields of orders $16$ and $32$”, J. Sib. Fed. Univ. Math. Phys., 7:3 (2014), 362–372
Citation in format AMSBIB
\by Vladimir~M.~Levchuk, Polina~K.~Shtukkert
\paper Problems on structure for quasifields of orders $16$ and $32$
\jour J. Sib. Fed. Univ. Math. Phys.
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V. M. Levchuk, P. K. Shtukkert, “Stroenie kvazipolei malykh chetnykh poryadkov”, Tr. IMM UrO RAN, 21, no. 3, 2015, 197–212
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