29 citations · 203 across the 38 of their papers we have counts for
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math.CO2015★ 6 cited
GL_n(F_q)-analogues of factorization problems in the symmetric group
Joel Brewster Lewis, Alejandro H. Morales
We consider GL_n(F_q)-analogues of certain factorization problems in the symmetric group S_n: rather than counting factorizations of the long cycle (1, 2, ..., n) given the number…
math.CO2015★ 10 cited
Absolute order in general linear groups
Jia Huang, Joel Brewster Lewis, Victor Reiner
This paper studies a partial order on the general linear group GL(V) called the absolute order, derived from viewing GL(V) as a group generated by reflections, that is, elements wh…