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

Nicole Lemire, Ján Minác, Andrew Schultz, John Swallow

• 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).