Nicholas J. Werner

activity

20242026

collaborators

4 papers

math.CO2026

Circular sorting in the alternating group

Melanie Ferreri, Eric Swartz, Nicholas J. Werner

The symmetric group $S_{n}$ is generated by transpositions, and problems of sorting permutations using transpositions are well studied. In recent work, Adin, Alon, and Roichman studi…

math.RA2025

Covering rings by proper ideals

Malcolm Hoong Wai Chen, Eric Swartz, Nicholas J. Werner

A cover by left ideals of an associative (not necessarily commutative or unital) ring $R$ is a collection of proper left ideals whose set-theoretic union equals $R$ . If such a cove…

math.GR2024

Exponential and weakly exponential subgroups of finite groups

Eric Swartz, Nicholas J. Werner

Sabatini (2024) defined a subgroup $H$ of $G$ to be an exponential subgroup if $x^{∣ G : H ∣} \in H$ for all $x \in G$ . Exponential subgroups are a generalization of normal (and subnor…

math.GR2024

A Note on Finite Nilpotent Groups

Nicholas J. Werner

It is well known that if $G$ is a group and $H$ is a normal subgroup of $G$ of finite index $k$ , then $x^{k} \in H$ for every $x \in G$ . We examine finite groups $G$ with the propert…