23 citations · 44 across the 34 of their papers we have counts for
11 papers · 1 filter
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…
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…
Is there an infinite field whose multiplicative group is indecomposable?
Sunil K. Chebolu, Keir Lockridge
In an earlier paper, we determined the finite fields with indecomposable multiplicative groups and conjectured that there is no infinite field whose multiplicative group is indecom…
Zero-sum-free tuples and hyperplane arrangements
Sunil K. Chebolu, Papa A. Sissokho
A vector in is said to be a zero-sum-free -tuple if there is no non-empty subset of its components whose sum is zero in $\math…
Galois p-groups and Galois modules
Sunil Chebolu, Jan Minac, Andrew Schultz
The smallest non-abelian p-groups play a fundamental role in the theory of Galois p-extensions. We illustrate this by highlighting their role in the definition of the norm residue…
When is the multiplicative group of a field indecomposable?
Sunil Chebolu, Keir Lockridge
The multiplicative group of a finite field is well known to be cyclic; in this note, we determine the finite fields whose multiplicative groups are direct sum indecomposable. We ob…