On the automorphism groups of some modular curves

Autor:	S. Kamienny
Rok vydání:	2003
Předmět:	Combinatorics p-group Discrete mathematics Inner automorphism Symmetric group Mathematics::Number Theory General Mathematics Galois group Quaternion group Outer automorphism group Alternating group Automorphism Mathematics
Zdroj:	Mathematical Proceedings of the Cambridge Philosophical Society. 134
ISSN:	1469-8064 0305-0041
DOI:	10.1017/s0305004102006023
Popis:	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 $X$ .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::36d8cb0e42955c37d8c2cc8b94d5e2ea https://doi.org/10.1017/s0305004102006023 Zobrazit plný text záznamu