Chain spaces with many reflections

Abstract

We consider chain spaces that possess a group of automorphisms containing many reflections. Such a chain space can be coordinatized by a commutative algebra, if the group satisfies a 3-reflection theorem, or if the chain space has additional geometric properties. (2000): 51B05. Mathematics Subject Classification

Divisible designs, Laguerre geometry, and beyond

“…Nevertheless they can sometimes be described algebraically in terms of a ring containing a subfield if some extra assumptions are made. See [22], [26], [70], [71], and [73].…”