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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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Nilpotent automorphism groups of Riemann surfaces
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by Reza Zomorrodian PDF
Trans. Amer. Math. Soc. 288 (1985), 241-255 Request permission

Abstract:

The action of nilpotent groups as automorphisms of compact Riemann surfaces is investigated. It is proved that the order of a nilpotent group of automorphisms of a surface of genus $g \geqslant 2$ cannot exceed $16(g - 1)$. Exact conditions of equality are obtained. This bound corresponds to a specific Fuchsian group given by the signature (0;2,4,8).
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 288 (1985), 241-255
  • MSC: Primary 20H10; Secondary 14H45, 20D45, 30F10
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0773059-6
  • MathSciNet review: 773059