The Sylow subgroups of the absolute Galois group Gal(Q)

Lior Bary-Soroker, Moshe Jarden, Danny Neftin

We describe the Sylow subgroups of Gal(Q) for an odd prime p, by observing and studying their decomposition as a semidirect product of Z_p acting on F, where F is a free pro-p grou…