Combinatorics of Spreads and Parallelisms

For at least forty years, translation planes, spreads, nets, and parallelisms have played a central role in finite geometry. Finite geometry is an important, wide-ranging research area in mathematics with strong connections to algebra and combinatorics. It also has relevant practical applications in coding theory and cryptography. Written by an active researcher in translation planes, spreads, nets, and parallelisms, this book introduces parallelisms and spreads in a comprehensive manner. Topics covered include partial spreads, spreadsets, quasifields, collineations, automorphisms and autotopisms.