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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



The cohomology representation of an action of $ C\sb p$ on a surface

Author: Peter Symonds
Journal: Trans. Amer. Math. Soc. 306 (1988), 389-400
MSC: Primary 57S17; Secondary 20C10, 57M12
MathSciNet review: 927696
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Abstract: When a finite group $ G$ acts on a surface $ S$, then $ {H^1}(S;\,{\mathbf{Z}})$ posseses naturally the structure of a $ {\mathbf{Z}}G$-module with invariant symplectic inner product. In the case of a cyclic group of odd prime order we describe explicitly this symplectic inner product space in terms of the fixed-point data of the action.

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Article copyright: © Copyright 1988 American Mathematical Society

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