Symplectic spreads and symplectically paired spreads


If 𝜋 is a finite symplectic translation plane, it is shown that any affine homology group is cyclic and has order dividing the order of the kernel homology group. This criterion provides a means to ensure that a given spread is not symplectic. Furthermore, a variety of symplectically paired André spreads are constructed.

DOI Code: 10.1285/i15900932v26n2p119

Keywords: Translation planes; Symplectic spreads; Affine homologies; Symplectically paired spreads

Classification: 51E23; 51A40

Full Text: PDF

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.