Semifield planes of odd order that admit a subgroup of autotopisms isomorphic to A 4

Author:

Kravtsova O. V.

Publisher

Allerton Press

Subject

General Mathematics

Reference16 articles.

1. Biliotti, M., Jha, V., Johnson, N. L., and Menichetti, G. “A Structure Theory for Two-dimensional Translation Planes of Order q 2 that Admit Collineation Group of Order q 2”, Geom.Dedic. 29, No. 1, 7–43 (1989).

2. Huang, H. and Johnson, N. L. “8 Semifield Planes of Order 82”, DiscreteMath. 80, No. 1, 69–79 (1990).

3. Cordero, M. “Matrix Spread Sets of p-Primitive Semifield Planes”, Int. J. Math. and Math. Sci. 20, No. 2, 293–298 (1997).

4. Podufalov, N. D., Durakov, B. K., Kravtsova, O. V., and Durakov, E. B. “On Semifield Planes of Order 162”, Sib. Math. J. 37, No. 3, 535–541 (1996).

5. Kravtsova, O. V. “Some Subgroups of Automorphisms of Semifield Planes”, in Algebra and Logic: Theory and Applications. Proceedings of Internat. Conf. Dedicated to V. P. Shunkov, Krasnoyarsk, July 21–27, 2013 (Krasnoyarsk, 2013), pp. 78–80.

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1. 2-elements in an Autotopism Group of a Semifield Projective Plane;The Bulletin of Irkutsk State University. Series Mathematics;2022

2. Semifield Planes Admitting the Quaternion Group Q8;Algebra and Logic;2020-03

3. On alternating subgroup $A_5$ in autotopism group of finite semifield plane;Sibirskie Elektronnye Matematicheskie Izvestiya;2020-01-31

4. Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane;The Bulletin of Irkutsk State University. Series Mathematics;2020

5. A Semifield Plane of Odd Order Admitting an Autotopism Subgroup Isomorphic to A5;Siberian Mathematical Journal;2018-03

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