Galois module structure of Galois cohomology for embeddable cyclic extensions of degree pn

• Autores: Nicole Lemire, Ján Minác, Andrew Schultz, John Swallow
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 81, Nº 3, 2010, págs. 525-543
• Idioma: inglés
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• Resumen

  • 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 Fp[Gal(E/F)]-modules Hm(GE, �Êp) 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 Fp[Gal(E/F)]-decomposition of Hm(GE, �Êp).