## 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).## References

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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