Using Hoare's Theorem to find the signature of a subgroup of an NEC group

TL;DR

This paper demonstrates how to apply Hoare's Theorem to determine the signature of subgroups within NEC groups, providing practical examples to illustrate the method.

Contribution

It introduces a systematic approach using Hoare's Theorem for subgroup signature determination in NEC groups, with illustrative examples.

Findings

Method successfully determines subgroup signatures

Examples validate the approach

Applicable to various NEC groups

Abstract

We explain how to use Hoare's Theorem to find the signature of a subgroup of an NEC group. We give several examples.