Hypermap operations of finite order

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 Out = PGL2(Z) and Out + = GL2(Z) 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.

• Type: Journal
• Year: 2010
• Where: DM
• Authors: Gareth A. Jones, Daniel Pinto
• Keywords: Automorphism, DM 2010, Outer Automorphism Groups