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math.CO2011★ 4 cited
Actions and identities on set partitions
Eric Marberg
A labeled set partition is a partition of a set of integers whose arcs are labeled by nonzero elements of an abelian group . Inspired by the action of the linear characters of t…
math.CO2011★ 6 cited
Heisenberg characters, unitriangular groups, and Fibonacci numbers
Eric Marberg
Let $\UT_n(\FF_q)$ denote the group of unipotent upper triangular matrices over a finite field with elements. We show that the Heisenberg characters of $\UT_{n+1}(\…