Alexander Merkurjev

activity

20162026

most citedRost invariant on the center, revisited

2 citations · 3 across the 5 of their papers we have counts for

collaborators

5 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…

math.NT2023★ 1 cited

Non-formality of Galois cohomology modulo all primes

Alexander Merkurjev, Federico Scavia

Let $p$ be a prime number and let $F$ be a field of characteristic different from $p$ . We prove that there exist a field extension $L / F$ and $a, b, c, d$ in $L^{\times}$ such that $(a…

math.GR2016★ 2 cited

Rost invariant on the center, revisited

S. Garibaldi, A. S. Merkurjev

The Rost invariant of the Galois cohomology of a simple simply connected algebraic group over a field $F$ is defined regardless of the characteristic of $F$ , but unfortunately some…

Lifting property for finite groups

The lifting problem for Galois representations

Galois representations modulo p that do not lift modulo p2

Non-formality of Galois cohomology modulo all primes

Rost invariant on the center, revisited

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