The University of Southampton
University of Southampton Institutional Repository

Hypermap operations of finite order

Hypermap operations of finite order
Hypermap operations of finite order
Duality and chirality are examples of operations of order 2 on hypermaps. James showed that the groups of all operations on hypermaps and on oriented hypermaps can be identified with the outer automorphism groups and of the groups ?=C2*C2*C2 and ?+=F2. We will consider the elements of finite order in these two groups, and the operations they induce.

hypermap, hypermap operation, group automorphism
0012-365X
1820-1827
Jones, Gareth
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Pinto, Daniel
00ef3e79-4467-4e47-959c-84ef1b1acbd3
Jones, Gareth
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Pinto, Daniel
00ef3e79-4467-4e47-959c-84ef1b1acbd3

Jones, Gareth and Pinto, Daniel (2010) Hypermap operations of finite order. Discrete Mathenatics, 310 (12), 1820-1827. (doi:10.1016/j.disc.2009.12.019).

Record type: Article

Abstract

Duality and chirality are examples of operations of order 2 on hypermaps. James showed that the groups of all operations on hypermaps and on oriented hypermaps can be identified with the outer automorphism groups and of the groups ?=C2*C2*C2 and ?+=F2. We will consider the elements of finite order in these two groups, and the operations they induce.

Text
DISC_8350.pdf - Version of Record
Download (401kB)

More information

e-pub ahead of print date: 28 June 2010
Keywords: hypermap, hypermap operation, group automorphism

Identifiers

Local EPrints ID: 156493
URI: http://eprints.soton.ac.uk/id/eprint/156493
ISSN: 0012-365X
PURE UUID: 90c1fbd3-49bd-4ff9-a09f-6c0c8fb29ba5

Catalogue record

Date deposited: 01 Jun 2010 08:34
Last modified: 14 Mar 2024 01:44

Export record

Altmetrics

Contributors

Author: Gareth Jones
Author: Daniel Pinto

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×