Richard G. Belshoff

collaborators

3 papers

math.GR2018

Finite Groups with a Prescribed Number of Cyclic Subgroups II

Richard Belshoff, Joe Dillstrom, Les Reid

Tărnăuceanu described the finite groups $G$ having exactly $∣ G ∣ - 1$ cyclic subgroups. In "Finite Groups with a Prescribed Number of Cyclic Subgroups,", we used elementary methods to…

math.GR2018

Finite Groups with a Prescribed Number of Cyclic Subgroups

Richard Belshoff, Joe Dillstrom, Les Reid

Marius Tărnăuceanu described the finite groups $G$ having $∣ G ∣ - 1$ cyclic subgroups. We describe the finite groups $G$ having $∣ G ∣ - Δ$ cyclic subgroups for $Δ = 2, 3, 4$ and $5$ .

math.AC2016

Sets of Lengths of Powers of a Variable

Richard Belshoff, Daniel Kline, Mark W. Rogers

A positive integer k is a length of a polynomial if that polynomial factors into a product of k irreducible polynomials. We find the set of lengths of polynomials of the form x^n i…