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Hypermap operations of finite order

By Gareth Jones and Daniel Pinto


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.<br/><br/

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