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Reconstructing a \(VW\) Plane from its Collineation Group

Cafer Caliskan1, Spyros S. Magliveras1
1Department of Mathematical Sciences Florida Atlantic University, 777 Glades Road, Boca Raton, FL 33431, U.S.A.

Abstract

In this study, we analyze the structure of the full collineation group of certain Veblen-Wedderburn (VW) planes of orders \( 5^2 \), \( 7^2 \), and \( 11^2 \). We also discuss a reconstruction method using their collineation groups.