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

N. D. Podufalov; I. V. Busarkina

doi:10.1007/bf02367217

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

Algebra and Logic ◽

10.1007/bf02367217 ◽

1996 ◽

Vol 35 (3) ◽

pp. 188-195 ◽

Cited By ~ 1

Author(s):

N. D. Podufalov ◽

I. V. Busarkina

Keyword(s):

Semifield Plane ◽

Autotopism Group

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

Algebra and Logic ◽

10.1007/bf02681650 ◽

2000 ◽

Vol 39 (4) ◽

pp. 259-267

Author(s):

I. V. Busarkina

Keyword(s):

Semifield Plane ◽

Autotopism Group

On alternating subgroup $A_5$ in autotopism group of finite semifield plane

Sibirskie Elektronnye Matematicheskie Izvestiya ◽

10.33048/semi.2020.17.004 ◽

2020 ◽

Vol 17 ◽

pp. 47-50 ◽

Cited By ~ 1

Author(s):

O. V. Kravtsova

Keyword(s):

Semifield Plane ◽

Autotopism Group ◽

Finite Semifield

On the autotopism group of the commutative Dickson semifield K and the stabilizer of the Ganley unital embedded in the semifield plane Π(K)

Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial ◽

10.2140/iig.2015.14.27 ◽

2015 ◽

Vol 14 (1) ◽

pp. 27-42 ◽

Cited By ~ 1

Author(s):

Alice Hui ◽

Yee Ka Tai ◽

Philip Pit Wang Wong

Keyword(s):

Semifield Plane ◽

Autotopism Group ◽

Dickson Semifield

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

Siberian Mathematical Journal ◽

10.1134/s0037446618020143 ◽

2018 ◽

Vol 59 (2) ◽

pp. 309-322 ◽

Cited By ~ 1

Author(s):

O. V. Kravtsova ◽

B. K. Durakov

Keyword(s):

Semifield Plane ◽

Odd Order

The structure of the central units of a commutative semifield plane

Finite Geometries and Combinatorics ◽

10.1017/cbo9780511526336.022 ◽

1993 ◽

pp. 207-216 ◽

Cited By ~ 2

Author(s):

V. Jha ◽

G. P. Wene

Keyword(s):

Semifield Plane

On the Knuth semi-fields

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171280000038 ◽

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-fieldsKnuth [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].

Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane

The Bulletin of Irkutsk State University Series Mathematics ◽

10.26516/1997-7670.2020.32.49 ◽

2020 ◽

Vol 32 ◽

pp. 49-63

Author(s):

O. V. Kravtsova ◽

Keyword(s):

Projective Plane ◽

Autotopism Group

Semifield planes with a transitive autotopism group

Archiv der Mathematik ◽

10.1007/bf01196293 ◽

1994 ◽

Vol 63 (1) ◽

pp. 17-22 ◽

Cited By ~ 2

Author(s):

Minerva Cordero ◽

Ra�l F. Figueroa

Keyword(s):

Autotopism Group ◽

Semifield Planes

A note on commutative semifield planes

Advances in Geometry ◽

10.1515/advgeom-2017-0017 ◽

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.

The centre of a finite semifield plane is a geometric invariant

Archiv der Mathematik ◽

10.1007/bf01313500 ◽

1988 ◽

Vol 50 (1) ◽

pp. 93-96

Author(s):

V. Jha ◽

N. L. Johnson

Keyword(s):

Semifield Plane ◽

Geometric Invariant ◽

Finite Semifield