Torsion groups of elliptic curves over Q(μp∞)

被引：0
作者：
Guzvic, Tomislav [1 ]
Vukorepa, Borna [1 ]
机构：
[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2023年 / 19卷 / 08期
关键词：
Elliptic curves; number theory; torsion of elliptic curves; INTEGRAL J-INVARIANT; POINTS;
D O I：
10.1142/S1793042123500847
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let E/Q be an elliptic curve and p is an element of{5, 7, 11} be a prime. We determine the possibilities for E(Q)(zeta(p)))(tors). Additionally, we determine all the possibilities for E(Q(zeta 16))(tors) and E(Q(zeta(27)))(tors). Using these results, we can determine the possibilities for E(Q(mu(p infinity)))tors for p {2, 3, 5, 7, 11}.
引用
收藏
页码：1745 / 1761
页数：17
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