Nathan Cornelius

collaborators

2 papers

math.AT2026

Composition of bispans of $G$ -sets and plethysm

Nathan Cornelius, Evan Franchere, Usman Hafeez +4

Let $P (G)$ be the Grothendieck ring of the semiring of endomorphisms of the point in the $1$ -category of bispans of finite $G$ -sets for a finite group $G$ . This is the bispan analo…

math.RA2024

On the image of the total power operation for Burnside rings

Nathan Cornelius, Lewis Dominguez, David Mehrle +3

We prove that the image of the total power operation for Burnside rings $A (G) \to A (G ≀ Σ_{n})$ lies inside a relatively small, combinatorial subring $\mathring A(G,n) \subseteq A(G…

Composition of bispans of G-sets and plethysm

On the image of the total power operation for Burnside rings

Composition of bispans of $G$ -sets and plethysm