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15
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nilpotent uniform pro-$p$ groups of dimension 2

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#group-theory #reference-request #profinite-groups #nilpotent-groups #pro-p-groups
289
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Absolute Galois group is topologically generated by Frobenius map clarification

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#galois-theory #profinite-groups
229
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Galois group of infinite extension generated by all square roots of rationals

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#abstract-algebra #galois-theory #profinite-groups
110
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In profinite group $G$ with inverse system $(G_\alpha)%$, how the kernel of projection map becomes the basis of neighborhood for $1$ in $G$?

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#abstract-algebra #galois-theory #fundamental-groups #galois-extensions #profinite-groups
462
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Reference for properties of absolute Galois group of local field

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#reference-request #galois-theory #algebraic-number-theory #local-field #profinite-groups
51
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Is the system of subgroups whose quotient is finitely generated, an inverse system?

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#group-theory #finitely-generated #combinatorial-group-theory #profinite-groups
90
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Convergence in $\hat{\mathbb{Z}}$

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#profinite-groups
149
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Automorphism group of rooted tree is a profinite group

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#group-theory #topological-groups #trees #automorphism-group #profinite-groups
251
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Relation between subgroup topology and Krull topology for an intermediate field of a Galois extension

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#galois-theory #galois-extensions #profinite-groups
702
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Are normal subgroups of finite index in an absolute Galois groups open?

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#abstract-algebra #group-theory #field-theory #algebraic-number-theory #profinite-groups
201
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Does category of finitely generated torsion $G$-modules has enough injectives?

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#category-theory #representation-theory #injective-module #profinite-groups
304
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Proof of Profinite groups are inverse limits of finite groups

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#algebraic-number-theory #solution-verification #topological-groups #group-cohomology #profinite-groups
57
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$\widehat{\mathbb{Z}}$-module structure

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#modules #profinite-groups
89
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Jacobi symbol continuity

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#number-theory #profinite-groups
186
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Proving that uniquely divisible torsion group is trivial in case of $H^r _{cts}(G,\mathbb Q)$

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#abstract-algebra #algebraic-number-theory #group-cohomology #profinite-groups #galois-cohomology

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