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math.GT2026
Complex hyperbolic surfaces whose closed geodesics are all simple
Sami Douba, D. B. McReynolds, Julien Paupert +1
We show that all closed geodesics in any arithmetic complex hyperbolic surface of second type are simple. These include the fake projective planes studied by Mumford, Klingler, Pra…
math.GR2026
Subgroups with all finite lifts isomorphic are conjugate
Ido Karshon, Alexander Lubotzky, D. B. McReynolds +2
We show that for non-conjugate subgroups and of a finite group there exists an extension of (by a finite group) in which the pre-images of and are n…