ON RIGHT-PRIMITIVITY CONJECTURE FOR FINITE SEMIFIELD

Author(s): Kravtsova Olga Vadimovna

Rubric: Methodological research

Release: 2016-2 (14)

Pages: 330-336

Keywords: semifield, spectrum of semifield, left-primitivity, automorphism

Annotation: The author consider the algebraic properties of the semifield of order 64 that is one of two known counter-examples to G. Wene conjecture of left-primitivity for any finite semifield. The subfileds, automorphisms and spectrum are described. It is proved that the multiplicative loop of non-zero elements of this semifield is singly-generated

Bibliography: Kravtsova OL.VA. ON RIGHT-PRIMITIVITY CONJECTURE FOR FINITE SEMIFIELD // Education Resources and Technologies. – 2016. – № 2 (14). – С. 330-336. doi: