B. Peet

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20182026

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math.CO2024

On the impossibility of certain $(n^{2} + n + k_{n + 1})$ configurations

Jackson Philbrook, Benjamin Peet

This paper investigates the impossibility of certain $(n^{2} + n + k_{n + 1})$ configurations. Firstly, for $k = 2$ , the result of \cite{gropp1992non} that $\frac{n ^{2} + n}{2}$ is even and $n…

math.CO2019

Coverings of Configurations, Prime Configurations, and Orbiconfigurations

Benjamin Peet

This exploratory paper considers the notion of a covering of a configuration and $G$ -coverings which are coverings that are quotients under a semi-regular group action. We consider…

On the impossibility of certain (n2+n+kn+1​) configurations

Coverings of Configurations, Prime Configurations, and Orbiconfigurations

On the impossibility of certain $(n^{2} + n + k_{n + 1})$ configurations