The problem of conjugacy of automorphisms of free groups
type: Item
instance of: scholarly article
title: The problem of conjugacy of automorphisms of free groups
zbMATH Open document ID: 0692.20016
DOI: 10.1007/BF01980604
author: Oleg Bogopolski
published in: Algebra and Logic
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/187454
review text: Let \(F_ n\) be the free group of degree n, and Fix(\(\alpha)\) be the subgroup of fixed points of an automorphism \(\alpha\in Aut F_ n\). An effective procedure is given in order to solve the conjugacy problem for automorphisms of prime order in Aut \(F_ n\) (Theorem 1). For \(n=2\), an algorithm is indicated in order to find a basis of Fix(\(\alpha)\) (Theorem 2). The conjugacy problem is algorithmically solvable in Aut \(F_ 2\) (Theorem 3). The last theorem was announced also by \textit{G. T. Kozlov} [8th All-Union Conf. Math. Logic (Moscow, 1986; Zbl 0591.03003), p. 85].
Mathematics Subject Classification ID: 20E05
Mathematics Subject Classification ID: 20F10
Mathematics Subject Classification ID: 20F28
Mathematics Subject Classification ID: 20E36
zbMATH DE Number: 4132426
zbMATH Keywords: free group
zbMATH Keywords: subgroup of fixed points
zbMATH Keywords: conjugacy problem for automorphisms
zbMATH Keywords: algorithmically solvable
reviewed by: Ju. I. Merzljakov
MaRDI profile type: Publication
cites work: Periodic automorphisms of free groups
cites work: Topology of finite graphs
cites work: Q3346485
cites work: Q5637075
cites work: SEPARABLE CLOSED BRAIDS
OpenAlex ID: W2036739218
description: scientific article; zbMATH DE number 4132426