23 citations · 44 across the 34 of their papers we have counts for
48 papers
A septic covariant and the Hermite--Joubert problem in degree seven
Sunil Chebolu, Ján Mináč, Behzad Nikzad +1
We prove the degree-seven case of the Hermite--Joubert problem in characteristic zero: if is a field of characteristic zero and is a field extension of degree seven, then…
Half of finite abelian groups are unit groups
Sunil K. Chebolu, Keir Lockridge
A group is called realizable if it is the group of units in a ring with identity. The classification of realizable groups is a difficult open problem -- originally posed by László…
Fuchs' problem for endomorphisms of nonabelian groups
Sunil K. Chebolu, Keir Lockridge
In 1960, László Fuchs posed the problem of determining which groups are realizable as the group of units in some ring . In \cite{chebolu2022fuchs}, we investigated the follo…
The Bloch--Kato conjecture, decomposing fields, and generating cohomology in degree one
Sunil K. Chebolu, Ján Mináč, Cihan Okay +2
The famous Bloch--Kato conjecture implies that for a field containing a primitive th root of unity, the cohomology ring of the absolute Galois group of with $\math…
Fuchs' problem for endomorphisms of abelian groups
Sunil K. Chebolu, Keir Lockridge
László Fuchs posed the following question: which abelian groups arise as the group of units in a ring? In this paper, we investigate a related question: for such realizable groups…
On the arithmetic of the join rings over finite fields
Sunil K. Chebolu, Jonathan Merzel, Ján Mináč +3
Given a collection of finite groups and a ring , we have previously introduced and studied certain foundational properties of the join ring $\mathcal{J}_{G_1,…