Automorphisms of Fuchsian Groups of Genus Zero

Every automorphism in Fuchsian group is induced by some automorphism of a free group. This paper gives a presentation of a automorphism group of Fuchsian group of genus zero via braid groups. We also obtained the pure mapping class groups and the Seifert Fibre Groups.

Bibliographic Details
Main Author: Md Tap, Abu Osman
Format: Article
Language:English
English
Published: 1988
Online Access:http://psasir.upm.edu.my/id/eprint/2547/
http://psasir.upm.edu.my/id/eprint/2547/1/Automorphisms_of_Fuchsian_Groups_of_Genus_Zero.pdf
_version_ 1848839277613416448
author Md Tap, Abu Osman
author_facet Md Tap, Abu Osman
author_sort Md Tap, Abu Osman
building UPM Institutional Repository
collection Online Access
description Every automorphism in Fuchsian group is induced by some automorphism of a free group. This paper gives a presentation of a automorphism group of Fuchsian group of genus zero via braid groups. We also obtained the pure mapping class groups and the Seifert Fibre Groups.
first_indexed 2025-11-15T07:08:54Z
format Article
id upm-2547
institution Universiti Putra Malaysia
institution_category Local University
language English
English
last_indexed 2025-11-15T07:08:54Z
publishDate 1988
recordtype eprints
repository_type Digital Repository
spelling upm-25472013-05-27T07:01:50Z http://psasir.upm.edu.my/id/eprint/2547/ Automorphisms of Fuchsian Groups of Genus Zero Md Tap, Abu Osman Every automorphism in Fuchsian group is induced by some automorphism of a free group. This paper gives a presentation of a automorphism group of Fuchsian group of genus zero via braid groups. We also obtained the pure mapping class groups and the Seifert Fibre Groups. 1988 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/2547/1/Automorphisms_of_Fuchsian_Groups_of_Genus_Zero.pdf Md Tap, Abu Osman (1988) Automorphisms of Fuchsian Groups of Genus Zero. Pertanika, 11 (1). pp. 115-123. English
spellingShingle Md Tap, Abu Osman
Automorphisms of Fuchsian Groups of Genus Zero
title Automorphisms of Fuchsian Groups of Genus Zero
title_full Automorphisms of Fuchsian Groups of Genus Zero
title_fullStr Automorphisms of Fuchsian Groups of Genus Zero
title_full_unstemmed Automorphisms of Fuchsian Groups of Genus Zero
title_short Automorphisms of Fuchsian Groups of Genus Zero
title_sort automorphisms of fuchsian groups of genus zero
url http://psasir.upm.edu.my/id/eprint/2547/
http://psasir.upm.edu.my/id/eprint/2547/1/Automorphisms_of_Fuchsian_Groups_of_Genus_Zero.pdf