S. P. Carroll

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math.GR2026

Resolutions of orbifold generalised triangle groups

Sean P. Carroll, Thomas Csizmadia, Jeroen Schillewaert

Let $T = ⟨ f, g ∣ f^{l} = g^{m} = W^{n} = 1 ⟩$ be a generalised triangle group in which $W$ is the Farey word of a rational slope $q = r / s$ , and suppose that $T$ is the fundament…

math.GR2025

Eventually periodic resolutions with applications to integral group rings

Sean P. Carroll

We present a general construction of eventually periodic projective resolutions for modules over quotients of rings of finite left global dimension by a regular central element. Ou…