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- Title
Galois module structure of Galois cohomology for embeddable cyclic extensions of degree pn.
- Authors
Lemire, N.; Mináč, J.; Schultz, A.; Swallow, J.
- Abstract
Let p > 2 be prime and let n, m ∈ ℕ be given. For cyclic extensions E/F of degree pn that contain a primitive pth root of unity, we show that the associated p[Gal(E/F)]-modules Hm(GE, μp) have a sparse decomposition. When E/F is additionally a subextension of a cyclic, degree pn+1 extension E′/F, we give a more refined p[Gal(E/F)]-decomposition of Hm(GE, μp).
- Subjects
GALOIS modules (Algebra); GALOIS cohomology; MATHEMATICAL decomposition; RING extensions (Algebra); ALGEBRAIC topology
- Publication
Journal of the London Mathematical Society, 2010, Vol 81, Issue 3, p525
- ISSN
0024-6107
- Publication type
Article
- DOI
10.1112/jlms/jdp083