On p-class group of an An-extension

被引:1
|
作者
Konomi, Yutaka [1 ]
机构
[1] Gakushuin Univ, Dept Math, Toshima Ku, Tokyo 1718588, Japan
关键词
ideal class group; ambiguous class group; A(n)-extension;
D O I
10.3792/pjaa.84.87
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let p be a prime and L an A(n) extension over a number field K. The aim of this paper is to estimate the ratio of the p-class number of L to the ambiguous p-class number of L with respect to K.
引用
收藏
页码:87 / 88
页数:2
相关论文
共 50 条
  • [41] Chaos suppression based on adaptive observer for a P-class of chaotic systems
    Rodriguez, Angel
    de Leon, Jesus
    Femat, Ricardo
    CHAOS SOLITONS & FRACTALS, 2007, 32 (04) : 1345 - 1356
  • [42] Dynamic Synchrophasor Estimation Algorithm for P-class Phasor Measurement Units
    Chen, Lei
    Zhao, Wei
    Wang, Fuping
    Yu, Yiqing
    Huang, Songling
    2019 IEEE MILAN POWERTECH, 2019,
  • [43] No general Riemann-Hurwitz formula for relative p-class groups
    Gras, Georges
    JOURNAL OF NUMBER THEORY, 2017, 171 : 213 - 226
  • [45] On Ozaki's theorem realizing prescribed p-groups as p-class tower groups
    Hajir, Farshid
    Maire, Christian
    Ramakrishna, Ravi
    ALGEBRA & NUMBER THEORY, 2024, 18 (04) : 771 - 786
  • [46] On cyclic fields of odd prime degree p with infinite Hilbert p-class field towers
    Gerth, F
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2002, 45 (01): : 86 - 88
  • [47] Invariant generalized ideal classes - structure theorems for p-class groups in p-extensions
    Gras, Georges
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2017, 127 (01): : 1 - 34
  • [48] A Multi-class Algorithm Model Based on p-class Support Vector Ordinal Regression Machine
    Yang, Zhi-Xia
    OPTIMIZATION AND SYSTEMS BIOLOGY, PROCEEDINGS, 2008, 9 : 54 - 61
  • [49] Integral representation of p-class groups in Zp-extensions and the Jacobian variety
    López-Bautista, PR
    Villa-Salvador, GD
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1998, 50 (06): : 1253 - 1272
  • [50] Invariant generalized ideal classes – structure theorems for p-class groups in p-extensions
    GEORGES GRAS
    Proceedings - Mathematical Sciences, 2017, 127 : 1 - 34