3 papers
math.CO2026
Circular sorting in the alternating group
Melanie Ferreri, Eric Swartz, Nicholas J. Werner
The symmetric group is generated by transpositions, and problems of sorting permutations using transpositions are well studied. In recent work, Adin, Alon, and Roichman studi…
math.CO2026
Character theoretic techniques for nonabelian partial difference sets
Seth R. Nelson, Eric Swartz
A -partial difference set (PDS) is a subset of size of a group of order such that every nonidentity element of can be expressed in either …
math.RA2026
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 is a collection of proper left ideals whose set-theoretic union equals . If such a cove…