1 citations · 2 across the 5 of their papers we have counts for
5 papers
Synthetic Buildings for Finite Groups
Emily Gullerud, Peter Webb
We introduce synthetic buildings for each finite group and prime . These are -simplicial complexes, among which are the -subgroups complex of K.S. Brown, and also the…
Tridiagonal real symmetric matrices with a connection to Pascal's triangle and the Fibonacci sequence
Emily Gullerud, Rita Johnson, aBa Mbirika
We explore a certain family of tridiagonal real symmetric matrices. After deriving a three-term recurrence relation for the characteristic pol…
Symmetry and Art
Emily J. Gullerud, James S. Walker
We use some fundamental ideas from complex analysis to create symmetric images and animations. Using a domain coloring algorithm, we generate mappings to the entire complex plane o…
An Euler phi function for the Eisenstein integers and some applications
Emily Gullerud, Aba Mbirika
The Euler phi function on a given integer yields the number of positive integers less than that are relatively prime to . Equivalently, it gives the order of the group o…
Generating Bézout trees for Pythagorean pairs
Emily Gullerud, James S. Walker
Relatively prime pairs of integers can be represented as nodes in three way branching trees. We construct trees of Bézout coefficients which correspond to the relatively prime pair…