Pascal's triangle (mod 9)
نویسندگان
چکیده
منابع مشابه
Elliptic Curves with 3-adic Galois Representation Surjective Mod 3 but Not Mod 9
Let E be an elliptic curve over Q, and ρl : Gal(Q/Q)→GL2(Zl) its l-adic Galois representation. Serre observed that for l ≥ 5 there is no proper closed subgroup of SL2(Zl) that maps surjectively onto SL2(Z/lZ), and concluded that if ρl is surjective mod l then it is surjective onto GL2(Zl). We show that this no longer holds for l = 3 by describing a modular curve X9 of genus 0 parametrizing elli...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1997
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-78-4-331-349