A characterization of the desarguesian planes of orderq2bySL(2,q)-Reference-Cited by-同舟云学术

A characterization of the desarguesian planes of orderq2bySL(2,q)

Published:1983 Issue:3 Volume:6 Page:605-608
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Foulser D. A.¹,Johnson N. L.²,Ostrom T. G.³

Affiliation:

1. Mathematics Department, University of Illinois at Chicago Circle, Chicago, Illinois 60680, USA

2. Department of Mathematics, The University of Iowa, lowa City, Iowa 52242, USA

3. Department of Pure and Applied Mathematics, Washington State University, Pullman, Washington 99164, USA

Abstract

The main result is that if the translation complement of a translation plane of orderq2contains a group isomorphic toSL(2,q)and if the subgroups of orderqare elations (shears), then the plane is Desarguesian. This generalizes earlier work of Walker, who assumed that the kernel of the plane containedGF(q).

Funder

National Science Foundation

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/1983/786813.pdf

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