3 problems

Demuškin maximal pro- $p$ Galois group conjecture
Demuškin maximal pro- $p$ Galois group conjecture. If $G_F(p)$ is a pro- $p$ Demuškin group of rank at least $3$ , then $F$ is arithmetically Demuškin.
openFrom papersdemushkin-groups galois-theory pro-p-groups
0 responses
5
Demuškin-to- $p$ -adic type conjecture
Demuškin-to- $p$ -adic type conjecture. If $\mathcal{G}_F(p)$ is a Demuškin cyclotomic pro- $p$ pair of rank at least $3$ , then $\mathcal{G}_F(p)$ has $p$ -adic type.
openFrom papersdemushkin-groups galois-theory pro-p-groups
0 responses
9
Elementary type conjecture for finitely generated Demushkin pro-p groups
Let $K$ be a field such that its maximal pro- $p$ Galois quotient $G_K(p)$ is a finitely generated pro- $p$ Demushkin group of rank at least $3$ . Elementary type conjecture for Demus…
openFrom papersdemushkin-groups p-adic-fields pro-p-galois-groups
0 responses
4

Demuškin maximal pro-ppp Galois group conjecture