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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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The cohomology representation of an action of $C_ p$ on a surface
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by Peter Symonds PDF
Trans. Amer. Math. Soc. 306 (1988), 389-400 Request permission

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.
References
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 306 (1988), 389-400
  • MSC: Primary 57S17; Secondary 20C10, 57M12
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0927696-9
  • MathSciNet review: 927696