@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.",

}