Some 2-properties of an autotopism group of ap-primitive semifield plane

2000 ◽  
Vol 39 (4) ◽  
pp. 259-267
Author(s):  
I. V. Busarkina
Keyword(s):  
Semifield Plane ◽  
Autotopism Group

The autotopism group of ap-primitive semifield plane of orderq 4

1996 ◽  
Vol 35 (3) ◽  
pp. 188-195 ◽  
Author(s):  
N. D. Podufalov ◽  
I. V. Busarkina
Keyword(s):  
Semifield Plane ◽  
Autotopism Group

scholarly journals A Semifield Plane of Odd Order Admitting an Autotopism Subgroup Isomorphic to A5

2018 ◽  
Vol 59 (2) ◽  
pp. 309-322 ◽  
Author(s):  
O. V. Kravtsova ◽  
B. K. Durakov
Keyword(s):  
Semifield Plane ◽  
Odd Order

scholarly journals On the Knuth semi-fields

1980 ◽  
Vol 3 (1) ◽  
pp. 29-45
Author(s):  
D. R. Hughes ◽  
M. J. Kallaher
Keyword(s):  
Autotopism Group

We consider three of Knuth's four classes of semi-fields—Knuth [11]—namely, those having dimension2over a nucleus and show that the autotopism group is solvable (Corollary 4.12). This generalizes a result of Hughes [5]. We also show that for semi-fields of dimension2over a nucleus, the number of pairwise non-isomorphic isotopic images is at least5(Corollary 5.1.1). This generalizes a result in [10].

Semifield planes with a transitive autotopism group

1994 ◽  
Vol 63 (1) ◽  
pp. 17-22 ◽  
Author(s):  
Minerva Cordero ◽  
Ra�l F. Figueroa
Keyword(s):  
Autotopism Group ◽  
Semifield Planes

A note on commutative semifield planes

2018 ◽  
Vol 18 (1) ◽  
pp. 115-118
Author(s):  
Yue Zhou
Keyword(s):  
Projective Plane ◽  
Prime Power ◽  
Semifield Plane ◽  
Planar Function ◽  
Semifield Planes

AbstractLetqbe an odd prime power. We prove that a planar functionffrom 𝔽qto itself can be written as an affine Dembowski–Ostrom polynomial if and only if the projective plane derived fromfis a commutative semifield plane.

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