3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AC2023
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…
math.NT2014★ 3 cited
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…
math.NT2014★ 2 cited
Characterizations of Mersenne and 2-rooted primes
Sunil K. Chebolu, Keir Lockridge, Gaywalee Yamskulna
We give several characterizations of Mersenne primes (Theorem 1.1) and of primes for which 2 is a primitive root (Theorem 1.2). These characterizations involve group algebras, circ…