Abstract

On translation structures with a normal principal line
Abstract. Here we study affine parallel translation structures, both finite and infinite, with a normal principal line, that is a line which intersects every line not in its parallel class. An algebraic characterization of these structures in terms of semidirect product of groups is provided and the main properties related to their group of automorphisms are inspected. The particular case of kinematic spaces is also taken into consideration.

On translation structures with a normal principal line

Abstract. Here we study affine parallel translation structures, both finite and infinite, with a normal principal line, that is a line which intersects every line not in its parallel class. An algebraic characterization of these structures in terms of semidirect product of groups is provided and the main properties related to their group of automorphisms are inspected. The particular case of kinematic spaces is also taken into consideration.