Matthias Uschold

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20222025

most citedTorsion homology growth and cheap rebuilding of inner-amenable groups

1 citations · 1 across the 5 of their papers we have counts for

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math.GR2022★ 1 cited

Torsion homology growth and cheap rebuilding of inner-amenable groups

Matthias Uschold

We prove that virtually torsion-free, residually finite groups that are inner-amenable and non-amenable have the cheap 1-rebuilding property, a notion recently introduced by Abért,…

math.GR2022

$L^{2}$ -Betti numbers and computability of reals

Clara Loeh, Matthias Uschold

We study the computability degree of real numbers arising as $L^{2}$ -Betti numbers or $L^{2}$ -torsion of groups, parametrised over the Turing degree of the word problem.

Torsion homology growth and cheap rebuilding of inner-amenable groups

L2-Betti numbers and computability of reals

$L^{2}$ -Betti numbers and computability of reals