3 papers
math.RA2024
Replacing bar-like resolutions in a simplicial setting
Samuel Carolus, Jacob Laubacher, Sydney D. Vitalbo +1
It is well known that the bar resolution can be replaced with any projective resolution of the corresponding algebra when computing the Hochschild (co)homology of that algebra. Thi…
math.GR2023
Classifying character degree graphs with seven vertices
Jacob Laubacher, Mark Medwid, Dylan Schuster
We study here the graphs with seven vertices in an effort to classify which of them appear as the prime character degree graphs of finite solvable groups. This classification is co…
math.AC2023
Secondary Hochschild cohomology and derivations
Kylie Bennett, Elizabeth Heil, Jacob Laubacher
In this paper, we introduce a generalization of derivations. Using these so-called secondary derivations, along with an analogue of Connes' Long Exact Sequence, we are able to prov…