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 i...

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Bibliographic Details
Main Authors: Jones, Gareth (Author), Pinto, Daniel (Author)
Format: Article
Language:English
Published: 2010-06-28.
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Summary: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.