Finitely Presented Groups

Finitely Presented Groups#

Generators & Relations

Defining groups by presentations and free group operations.

Generators & Relations
Coset Enumeration

Todd–Coxeter algorithm and low-index subgroups.

Coset Enumeration
Rewriting Systems

Knuth–Bendix completion and word problems.

Rewriting Systems
Abelian Quotients

Abelianisation, torsion and p-quotient algorithms.

Abelian Quotients