Structure of coincidence isometry groups

Abstract

Let LL be a lattice of rank nn in an nn-dimensional Euclidean space. We show that the coincidence isometry group of LL is generated by coincidence reflections if and only if LL contains an orthogonal subset of order nn.

Keywords

• coincidence isometry group
• lattice
• orthogonal subset
• multiplicative noise
• 06b05
• 20g99