Steinitz classes of tamely ramified nonabelian extensions of odd prime power order

被引：2

作者：

Cobbe, Alessandro ^{[1
]}

机构：

[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy

来源：

ACTA ARITHMETICA | 2011年 / 149卷 / 04期

关键词：

Steinitz classes; realizable classes; tame extensions of number fields; class field theory; GALOIS MODULE STRUCTURE; NON-ABELIAN EXTENSIONS; CYCLIC EXTENSIONS; P(3);

D O I：

10.4064/aa149-4-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：347 / 359

页数：13

共 40 条

[1] Steinitz classes of tamely ramified Galois extensions of algebraic number fields
Cobbe, Alessandro
[J]. JOURNAL OF NUMBER THEORY, 2010, 130 (05) : 1129 - 1154
[2] On realizable Galois module classes and Steinitz classes of nonabelian extensions
Bruche, Clement
Sodaigui, Bouchaib
[J]. JOURNAL OF NUMBER THEORY, 2008, 128 (04) : 954 - 978
[3] Steinitz classes of nonabelian extensions of degree p(3)
Carter, JE
[J]. ACTA ARITHMETICA, 1997, 78 (03) : 297 - 303
[4] Tamely ramified Eisenstein fields with prime power discriminants
Komatsu, Toru
[J]. KYUSHU JOURNAL OF MATHEMATICS, 2008, 62 (01) : 1 - 13
[5] STEINITZ CLASSES OF CYCLIC EXTENSIONS OF PRIME DEGREE
LONG, RL
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1971, 250 : 87 - &
[6] Hopf-Galois module structure of tamely ramified radical extensions of prime degree
Truman, Paul J.
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (05)
[7] An explicit candidate for the set of Steinitz classes of tame Galois extensions with fixed Galois group of odd order
Caputo, Luca
Cobbe, Alessandro
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2013, 107 : 391 - 413
[8] On Steinitz classes of nonabelian Ga lois extensions and p-ary cyclic Hamming codes.
Farhat, Maya
Sodaigui, Bouchaib
[J]. JOURNAL OF NUMBER THEORY, 2014, 134 : 93 - 108
[9] Steinitz classes of generalized quaternion extensions of order 4pr
Carter, James E.
Sodaigui, Bouchaib
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2007, 76 : 331 - 344
[10] Groups of prime power order and their nonabelian tensor squares
Primož Moravec
[J]. Israel Journal of Mathematics, 2009, 174 : 19 - 28

← 1 2 3 4 →