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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…