A Whitehead algorithm for surface groups

Authors
Levitt, G Vogtmann, K
Citation
G. Levitt et K. Vogtmann, A Whitehead algorithm for surface groups, TOPOLOGY, 39(6), 2000, pp. 1239-1251
Citations number
12
Categorie Soggetti
Mathematics
Journal title
TOPOLOGY
ISSN journal
00409383 → ACNP
Volume
39
Issue
6
Year of publication
2000
Pages
1239 - 1251
Database
ISI
SICI code
0040-9383(200011)39:6<1239:AWAFSG>2.0.ZU;2-V
Abstract
For G the fundamental group of a closed surface, we produce an algorithm wh ich decides whether there is an element of the automorphism group of G whic h takes one specified finite set of elements to another. The algorithm find s such an automorphism if it exists. The methods are geometric and also app ly to surfaces with boundary. (C) 2000 Elsevier Science Ltd. All rights res erved.