6 citations · 11 across the 13 of their papers we have counts for
17 papers
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…
Fuchs' problem for linear groups
Keir Lockridge, Jacinda Terkel
Which groups can occur as the group of units in a ring? Such groups are called realizable. Though the realizable members of several classes of groups have been determined (e.g., cy…
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…
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…
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…