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On the automorphism groups of some modular curves

Published online by Cambridge University Press:  10 March 2003

S. KAMIENNY
S. KAMIENNY
Affiliation:
University of Southern California, Los Angeles, California, U.S.A. e-mail: kamienny@math.usc.edu
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Abstract

Let $N$ be a prime number, and $X$ a curve that is intermediate to the cover $X_1(N)\rightarrow X_0(N)$. We study the automorphism group of $X$, and prove that in most cases it is generated by the Galois group of the cover $X\rightarrow X_0(N)$, and any lift of the Atkin–Lehner involution to $X$.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 134 , Issue 1 , January 2003 , pp. 61 - 64
Copyright
2003 Cambridge Philosophical Society

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