Numerical groups
Group Theory
2019-11-27 v1 Geometric Topology
Abstract
A group of matrices with entries in a number field is defined to be numerical if has a finite index subgroup of matrices whose entries are algebraic integers. It is shown that an irreducible or completely reducible subgroup of is numerical if and only if the traces of its elements are algebraic integers. Some examples are given.
Cite
@article{arxiv.1911.11435,
title = {Numerical groups},
author = {María Teresa Lozano and José María Montesinos-Amilibia},
journal= {arXiv preprint arXiv:1911.11435},
year = {2019}
}