3 papers
math.GR2026
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 LászlÅ
math.RA2026
On the arithmetic of the join rings over finite fields
Sunil K. Chebolu, Jonathan Merzel, Ján MinÃ¡Ä +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,…
math.NT2026
The Bloch--Kato conjecture, decomposing fields, and generating cohomology in degree one
Sunil K. Chebolu, Ján MináÄ, 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…