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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2016 Volume 13, Pages 1300–1313 (Mi semr752)

This article is cited in 8 papers

Mathematical logic, algebra and number theory

On automorphisms of semifields and semifield planes

O. V. Kravtsova

Siberian Federal University, pr. Svobodny, 79, 660041, Krasnoyarsk, Russia

Abstract: We consider relations between a semifield projective plane and its coordinatizing semifield using the linear space and a spread set. We state the geometrical sense of an involutory automorphism for a finite semifield and study some of its properties.

Keywords: semifield, semifield projective plane, autotopism, automorphism, Baer involution.

UDC: 512.554

MSC: 17C60

Received August 30, 2016, published December 23, 2016

Language: English

DOI: 10.17377/semi.2016.13.102



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