2005•Communications in AlgebraRequires access

On the Conjugacy Problem for Cyclic Extensions of Free Groups

Valerij G. Bardakov, Leonid Arkad'evich Bokut', Andreĭ Vesnin

Abstract

We study the conjugacy problem in cyclic extensions of free groups. It is shown that the conjugacy problem is solvable in split extensions of finitely generated free groups by virtually inner automorphisms. An algorithm for construction of the unique representative (the conjugacy normal form) for each conjugacy class is given.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Conjugacy class, Mathematics, Automorphism, Conjugacy problem, Finitely-generated abelian group, Key (lock), Class (philosophy), Group (periodic table)