FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 163-170

A semifield plane of rank $2$ admitting nonlinear Baire involution

O. V. Kravtsova

Abstract

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We obtain a matrix representation of the regular set of a semifield plane of order $q4$ with a kernel of order $q2$ ($q=2k$), where the semifield plane admits semilinear Baire involution. The possibility of coexistence of linear and semilinear Baire involutions in the group of autotopisms of a plane is studied.

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