Jeremiah W. Johnson

activity

20112019

most citedThe Number of Group Homomorphisms from

D_{m}

into

D_{n}

4 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.HO2019

On the Diophantine Equation 1/a + 1/b = (q+1) / pq

Jeremiah W. Johnson

Let $p$ and $q$ be distinct primes such that $q + 1∣ p - 1$ . In this paper we find all integer solutions $a$ , $b$ to the equation $1/ a + 1/ b = (q + 1) / pq$ using only elementary methods.

math.GR2012★ 4 cited

The Number of Group Homomorphisms from $D_{m}$ into $D_{n}$

Jeremiah Johnson

Counting homomorphisms between cyclic groups is a common exercise in a first course in abstract algebra. A similar problem, accessible at the same level, is to count the number of…

math.RA2011

Weight Ideals Associated to Regular and Log-Linear Arrays

J. W. Johnson

Certain weight-based orders on the free associative algebra $R = k < x_{1}, ..., x_{t} >$ can be specified by $t \times \infty$ arrays whose entries come from the subring of nonnegative…

On the Diophantine Equation 1/a + 1/b = (q+1) / pq

The Number of Group Homomorphisms from Dm​ into Dn​

Weight Ideals Associated to Regular and Log-Linear Arrays

The Number of Group Homomorphisms from $D_{m}$ into $D_{n}$