Galois module structure of pth-power classes of extensions of degree p

被引：18

作者：

Minác, J

Swallow, J

机构：

[1] Univ Western Ontario, Dept Math, Middlesex Coll, London, ON N6A 5B7, Canada

[2] Davidson Coll, Dept Math, Davidson, NC 28035 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2003年 / 138卷 / 1期

关键词：

Galois Group; Cyclic Extension; Galois Cohomology; Cyclic Algebra; Cyclic Submodules;

D O I：

10.1007/BF02783417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For fields F of characteristic not p containing a primitive pth root of unity, we determine the Galois module structure of the group of pth-power classes of K for all cyclic extensions KIF of degree p.

引用

页码：29 / 42

页数：14

共 50 条

[1] Galois module structure of pth-power classes of cyclic extensions of degree pn
Minác, J
Schultz, A
Swallow, J
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2006, 92 : 307 - 341
[2] Galois modules appearing as pth-power classes of units of extensions of degree p
Minac, J
Swallow, J
MATHEMATISCHE ZEITSCHRIFT, 2005, 250 (04) : 907 - 914
[3] Galois modules appearing as pth-power classes of units of extensions of degree p
Ján Mináč
John Swallow
Mathematische Zeitschrift, 2005, 250 : 907 - 914
[4] Galois module structure of square power classes for biquadratic extensions
Chemotti, Frank
Minac, Jan
Schultz, Andrew
Swallow, John
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2023, 75 (03): : 804 - 827
[5] Relative Galois module structure and Steinitz classes of dihedral extensions of degree 8
Sodaïgui, B
JOURNAL OF ALGEBRA, 2000, 223 (01) : 367 - 378
[6] Galois module structure ofpth-power classes of extensions of degreep
Ján Mináč
John Swallow
Israel Journal of Mathematics, 2003, 138 : 29 - 42
[7] Ramified extensions of degree p and their Hopf-Galois module structure
Elder, G. Griffith
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2018, 30 (01): : 19 - 40
[8] Galois module structure of degree 8 quaternion extensions
Sodaigui, B
JOURNAL OF ALGEBRA, 1999, 213 (02) : 549 - 556
[9] Galois scaffolds and Galois module structure in extensions of characteristic p local fields of degree p2
Byott, Nigel P.
Elder, G. Griffith
JOURNAL OF NUMBER THEORY, 2013, 133 (11) : 3598 - 3610
[10] Galois module structure for dihedral extensions of degree 8:: Realizable classes over the group ring
Byott, NP
Sodaïgui, B
JOURNAL OF NUMBER THEORY, 2005, 112 (01) : 1 - 19

← 1 2 3 4 5 →