2 research outputs found
Algorithms for groups
Group theory is a particularly fertile field for the design of practical
algorithms. Algorithms have been developed across the various branches of the
subject and they find wide application. Because of its relative maturity,
computational group theory may be used to gain insight into the general
structure of algebraic algorithms. This paper examines the basic ideas behind
some of the more important algorithms for finitely presented groups and
permutation groups, and surveys recent developments in these fields
A Finite Soluble Quotient Algorithm
An algorithm for computing power conjugate presentations for finite soluble
quotients of predetermined structure of finitely presented groups is described.
Practical aspects of an implementation are discussed