David A. Nash

activity

20172020

collaborators

3 papers

math.GR2020

Classifying groups with a small number of subgroups

David A. Nash, Alexander Betz

We provide lower bounds on the number of subgroups of a group $G$ as a function of the primes and exponents appearing in the prime factorization of $∣ G ∣$ . Using these bounds, we cl…

math.HO2019

A New Take on Classic 'Pen Problems'

David A. Nash

In this article we generalize the classic "farm pen" optimization problem from a first course in calculus in a handful of different ways. We describe the solution to an $n$ -dimensi…

math.CO2017

Minimal and maximal Numbrix puzzles

Mary Grace Hanson, David A. Nash

This paper explores special arrangements of clues in $m \times n$ Numbrix puzzles. The maximum number of clues which fails to define an $m \times n$ puzzle is demonstrated for all…