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Finite abelian actions on surfaces

Published online by Cambridge University Press:  18 May 2009

S. A. Jassim
Affiliation:
Department Of Computer ScienceUniversity of Buckingham, U.K.
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Let G be a finite abelian group of rank m, M an oriented compact connected surface, and F(G, M) the set of all orientation preserving free G-actions on M. Two actions φ1, φ2εF(G, M) are equivalent if there exists an orientation preserving homeomorphism h of M such that

hφ1(f) for all f ε G.

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993