19 citations · 30 across the 4 of their papers we have counts for
5 papers
Counting Quiver Representations over Finite Fields Via Graph Enumeration
Geir T. Helleloid, Fernando Rodriguez Villegas
Let be a quiver on n vertices with edges between and , and let . Hua gave a formula for , the number of isomorphi…
Graph pegging numbers
Geir Helleloid, Madeeha Khalid, David Petrie Moulton +1
In graph pegging, we view each vertex of a graph as a hole into which a peg can be placed, with checker-like ``pegging moves'' allowed. Motivated by well-studied questions in graph…
Automorphism Groups of Finite p-Groups: Structure and Applications
Geir T. Helleloid
This thesis has three goals related to the automorphism groups of finite -groups. The primary goal is to provide a complete proof of a theorem showing that, in some asymptotic s…
A Survey on Automorphism Groups of Finite -Groups
Geir T. Helleloid
This survey on the automorphism groups of finite p-groups focuses on three major topics: explicit computations for familiar finite p-groups, such as the extraspecial p-groups and S…
The Automorphism Group of a Finite p-Group is Almost Always a p-Group
Geir T. Helleloid, Ursula Martin
Many common finite p-groups admit automorphisms of order coprime to p, and when p is odd, it is reasonably difficult to find finite p-groups whose automorphism group is a p-group.…