“From Hyperbolic Reflections to Finite Groups.” is a paper by John H. Conway published in 1991. It has an Open Access status of “closed”. You can read and ...

John H. Conway: From Hyperbolic Reflections to Finite Groups. Groups And Computation 1991: 41-51. a service of Schloss Dagstuhl - Leibniz Center for ...

In general: if G : X is a discrete reflection group. • X is decomposed by hyperplanes of reflections (mirrors) into chambers. • Chambers are congruent.

In group theory and geometry, a reflection group is a discrete group which is generated by a set of reflections of a finite-dimensional Euclidean space.

Apr 21, 2021 · In 1967, Vinberg initiated his fundamental theory of hyperbolic reflection groups. In 1972, he suggested an algorithm for constructing the ...

Chapter 3 discusses in detail the polynomial invariants of finite reflection groups. The first part ends with the construction in Chapter 4 of the affine Weyl ...

Mar 29, 2016 · Picard modular groups are up to a finite index generated by real reflections (i.e., antiholomorphic involutions that have a real totally ...

We call discrete reflection groups with fundamental polytopes of finite volume crystallographic reflection groups (c.r.g. for short). The c.r.g. in the ...

This is an attempt to collect some results concerning classification of arithmetic hyperbolic reflection groups and reflective hyperbolic lattices.