Johnson, Norman L.; Vega, Oscar Symplectic spreads and symplectically paired spreads. (English) Zbl 1118.51010 Note Mat. 26, No. 2, 119-134 (2006). If \(\pi\) is a 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. Reviewer: Milica Stojanovic (Beograd) Cited in 3 Documents MSC: 51E23 Spreads and packing problems in finite geometry 51A40 Translation planes and spreads in linear incidence geometry Keywords:Translation planes; symplectic spreads; affine homologies; symplectically paired spreads PDFBibTeX XMLCite \textit{N. L. Johnson} and \textit{O. Vega}, Note Mat. 26, No. 2, 119--134 (2006; Zbl 1118.51010)