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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Last modified: April 11, 2000