Galois module structure of Galois cohomology for embeddable cyclic extensions of degree p^n

Details Galois module structure of Galois cohomology for embeddable cyclic extensions of degree p^n Galois module structure of Galois cohomology for embeddable cyclic extensions of degree p^n

2009-04-23

arxiv.org/abs/0904.3719v1

J. London Math. Soc. 81 (2010), no. 3, 525-543

Mathematics

Number Theory

Scientific paper

10.1112/jlms/jdp083

Let p>2 be prime, and let n,m be positive integers. For cyclic field extensions E/F of degree p^n that contain a primitive pth root of unity, we show that the associated F_p[Gal(E/F)]-modules H^m(G_E,mu_p) have a sparse decomposition. When E/F is additionally a subextension of a cyclic, degree p^{n+1} extension E'/F, we give a more refined F_p[Gal(E/F)]-decomposition of H^m(G_E,mu_p).

Affiliated with

Also associated with

No associations

Rating

Galois module structure of Galois cohomology for embeddable cyclic extensions of degree p^n does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Galois module structure of Galois cohomology for embeddable cyclic extensions of degree p^n, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Galois module structure of Galois cohomology for embeddable cyclic extensions of degree p^n will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-409468