@article{f39512c28d6f45f4ad241616d71b35c1,
title = "The Sylow subgroups of the absolute Galois group Gal(Q)",
abstract = "We describe the ℓ-Sylow subgroups of Gal(Q) for an odd prime ℓ, by observing and studying their decomposition as F⋊Zℓ, where F is a free pro- ℓ group, and Zℓ are the ℓ-adic integers. We determine the finite Zℓ-quotients of F and more generally show that every split embedding problem of Zℓ-groups for F is solvable. Moreover, we analyze the Zℓ-action on generators of F.",
keywords = "Absolute Galois group, Embedding problems, Large fields",
author = "Lior Bary-Soroker and Moshe Jarden and Danny Neftin",
note = "Publisher Copyright: {\textcopyright} 2015.",
year = "2015",
month = oct,
day = "2",
doi = "10.1016/j.aim.2015.05.017",
language = "אנגלית",
volume = "284",
pages = "186--212",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}