On the structure of just infinite profinite groups
نویسندگان
چکیده
منابع مشابه
On the structure of just infinite profinite groups
A profinite group G is just infinite if every closed normal subgroup of G is of finite index. We prove that an infinite profinite group is just infinite if and only if, for every open subgroup H of G, there are only finitely many open normal subgroups of G not contained in H . This extends a result recently established by Barnea, Gavioli, Jaikin-Zapirain, Monti and Scoppola in [1], who proved t...
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Let F be a local field of characteristic p > 0 with perfect residue field k. The wild group R = Aut1 F is the group of wild continuous automorphisms {σ : (σ − 1)OF ⊂ MF} of the local field F . A choice of a prime element t of a local field F determines an isomorphism of Aut1 F and the group of formal power series f(t) = t+ a2t 2 + . . . with coefficients from k with respect to the composition (...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2010
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2010.07.034