23 citations · 44 across the 34 of their papers we have counts for
4 papers · 1 filter
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…
Gaussian Binomial Coefficients in Group Theory, Field Theory, and Topology
Sunil K. Chebolu, Keir Lockridge
In this article, we offer group-theoretic, field-theoretic, and topological interpretations of the Gaussian binomial coefficients and their sum. For a finite -group of rank…
Quotients of absolute Galois groups which determine the entire Galois cohomology
Sunil K. Chebolu, Ido Efrat, Ján Mináč
For prime power and a field containing a root of unity of order we show that the Galois cohomology ring $H^*(G_F,\dbZ/q)$ is determined by a quotient of…