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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), pp. 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.

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

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

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Date deposited: 01 Jun 2010 08:34
Last modified: 18 Jul 2017 12:42

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Author: Gareth Jones
Author: Daniel Pinto

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