We establish automatic realizations of Galois groups among groups $M ⋊ G$ , where $G$ is a cyclic group of order $p^{n}$ for a prime $p$ and $M$ is a quotient of the group ring $𝔽_{p} [G]$ .

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When is Galois cohomology free or trivial?

Galois module structure of Milnor K -theory mod p s in characteristic p .

Galois module structure of Milnor K -theory in characteristic p .

Automatic realizations of Galois groups with cyclic quotient of order p n

Galois module structure of Milnor $K$ -theory mod $p^{s}$ in characteristic $p$ .

Galois module structure of Milnor $K$ -theory in characteristic $p$ .

Automatic realizations of Galois groups with cyclic quotient of order $p^{n}$