Alexander Merkurjev

activity

20242026

collaborators

3 papers

math.GR2026

Lifting property for finite groups

Chandrashekhar B. Khare, Alexander Merkurjev

We classify all finite groups that have lifting property of mod $p$ representations to mod $p^{2}$ representations for all prime $p$ .

math.NT2025

The lifting problem for Galois representations

Alexander Merkurjev, Federico Scavia

We solve the lifting problem for Galois representations in every dimension and in every characteristic. That is, we determine all pairs $(n, k)$ , where $n$ is a positive integer and…

math.NT2024

Galois representations modulo $p$ that do not lift modulo $p^{2}$

Alexander Merkurjev, Federico Scavia

For every finite group $H$ and every finite $H$ -module $A$ , we determine the subgroup of negligible classes in $H^{2} (H, A)$ , in the sense of Serre, over fields with enough roots of u…

Lifting property for finite groups

The lifting problem for Galois representations

Galois representations modulo p that do not lift modulo p2

Galois representations modulo $p$ that do not lift modulo $p^{2}$