7 papers
On prime character degree graphs occurring within a family of graphs (ii)
Sara DeGroot, Jacob Laubacher, Mark Medwid
In this paper, we continue the classification work done in the first paper of the same name. With careful modifications of our previous approach, we are able to deduce (with two no…
On prime character degree graphs occurring within a family of graphs
Jacob Laubacher, Mark Medwid
In this paper we investigate families of connected graphs which do not contain an odd cycle in their complement. Specifically, we consider graphs formed by two complete graphs conn…
Deformation Theories Controlled by Hochschild Cohomologies
Samuel Carolus, Samuel A. Hokamp, Jacob Laubacher
We explore how the higher order Hochschild cohomology controls a deformation theory when the simplicial set models the 3-sphere. Besides generalizing to the -sphere for any $d\g…
A Simplicial Construction for Noncommutative Settings
Samuel Carolus, Jacob Laubacher, Mihai D. Staic
In this paper we present a general construction that can be used to define the higher Hochschild homology for a noncommutative algebra. We also discuss other examples where this co…
On the Absence of a Normal Nonabelian Sylow Subgroup
Mark W. Bissler, Jacob Laubacher, Corey F. Lyons
Let be a finite solvable group. We show that does not have a normal nonabelian Sylow -subgroup when its prime character degree graph satisfies a technical hypothe…
Properties of the Secondary Hochschild Homology
Jacob Laubacher
In this paper we study properties of the secondary Hochschild homology of the triple with coefficients in . We establish a type of Morita equivalence between…