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math.GR2026
Aldous-type Spectral Gaps in Generalized Symmetric Groups
Niv Levhari, Doron Puder
We prove an analog of Aldous' spectral gap conjecture in the generalized symmetric groups where is an arbitrary finite group. Moreover, we show that Caputo's extensi…
math.PR2026
Aldous-type Spectral Gaps in Unitary Groups
Gil Alon, Doron Puder
Aldous' spectral gap conjecture, proven by Caputo, Liggett and Richthammer, states the following: for any set of transpositions in the symmetric group , the spectr…