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Example Powerful Pro-$p$-Groups

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#profinite-groups #pro-p-groups
87
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Extension of continuous map on group ring to a map on the complete group algebra

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#algebraic-number-theory #topological-rings #pro-p-groups
299
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Let G be $\mathbb Z_p\times\dots\times \mathbb Z_p$ . Find A(G).

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#finite-groups #p-groups #pro-p-groups
272
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Index of congruence subgroups in $GL_2(\mathbb{Z}_p)$ modulo their centers.

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#abstract-algebra #group-theory #profinite-groups #pro-p-groups
135
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A powerful $2$-generated $p$-group is metacyclic

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#abstract-algebra #group-theory #pro-p-groups
88
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Meta-procyclic groups.

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#abstract-algebra #group-theory #pro-p-groups
105
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Normal closure of powerfully embedded subgroups.

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#group-theory #p-groups #pro-p-groups
112
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Show finite group is $p$-group given some structure of group

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#abstract-algebra #finite-groups #p-groups #pro-p-groups
946
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Nontrivial examples of pro-$p$ groups

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#group-theory #profinite-groups #pro-p-groups
81
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Proof that a particular subgroup is proper

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#group-theory #topological-groups #pro-p-groups
73
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Does $\mathbb Z/p\mathbb Z$ a free abelian pro-p group?

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#finite-groups #abelian-groups #free-groups #profinite-groups #pro-p-groups
196
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About the definition of powerful p-groups

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#abstract-algebra #group-theory #definition #profinite-groups #pro-p-groups
326
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Compact p-adic analytic groups

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#p-adic-number-theory #profinite-groups #pro-p-groups
142
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Finite intersection property for sets containing generating elements of derived subgroups of quotients

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#group-theory #topological-groups #p-groups #pro-p-groups
76
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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

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