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.
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页码：385 / 407
页数：23
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