Geometry of Derivation with Applications
Geometry of Derivation with Applications
English | 2023 | ISBN: 1032349166 | 372 Pages | PDF (True) | 7 MB
English | 2023 | ISBN: 1032349166 | 372 Pages | PDF (True) | 7 MB
Geometry of Derivation with Applications is the fifth work in a longstanding series of books on combinatorial geometry (Subplane Covered Nets, Foundations of Translation Planes, Handbook of Finite Translation Planes, and Combinatorics of Spreads and Parallelisms). Like its predecessors, this book will primarily deal with connections to the theory of derivable nets and translation planes in both the finite and infinite cases. Translation planes over non-commutative skewfields have not traditionally had a significant representation in incidence geometry, and derivable nets over skewfields have only been marginally understood. Both are deeply examined in this volume, while ideas of non-commutative algebra are also described in detail, with all the necessary background given a geometric treatment.