DIVISIBILITY OF REDUCTION IN GROUPS OF RATIONAL NUMBERS

被引：0
|
作者：
Pappalardi, Francesco [1 ]
机构：
[1] Univ Rome Tre, Dipartimento Matemat & Fis, I-00146 Rome, Italy
来源：
MATHEMATICS OF COMPUTATION | 2015年 / 84卷 / 291期
关键词：
ARTIN CONJECTURE; MOD P; ORDER;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a multiplicative group of nonzero rational numbers and a positive integer m, we consider the problem of determining the density of the set of primes p for which the order of the reduction modulo p of the group is divisible by m. In the case when the group is finitely generated the density is explicitly computed. Some examples of groups with infinite rank are considered.
引用
收藏
页码：385 / 407
页数：23
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