On tamely ramified pro- p-extensions over Zp-extensions of Q

被引：5
|
作者：
Itoh, Tsuyoshi [1 ]
Mizusawa, Yasushi [2 ]
机构：
[1] Chiba Inst Technol, Fac Social Syst Sci, Educ Ctr, Div Math, Narashino, Chiba 2750023, Japan
[2] Nagoya Inst Technol, Dept Math, Showa Ku, Nagoya, Aichi 4668555, Japan
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2014年 / 156卷 / 02期
关键词：
IWASAWA INVARIANTS;
D O I：
10.1017/S0305004113000637
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For an odd prime number p and a finite set S of prime numbers congruent to 1 modulo p, we consider the Galois group of the maximal pro-p-extension unramified outside S over the Z(p)-extension of the rational number field. In this paper, we classify all S such that the Galois group is a metacyclic pro-p group.
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页码：281 / 294
页数：14
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