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
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
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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DISC_8350.pdf
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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: 14 Mar 2024 01:44
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Author:
Gareth Jones
Author:
Daniel Pinto
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