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math.GR2021
Torsion subgroups of small cancellation groups
Karol Duda
We prove that torsion subgroups of groups defined by C(6), C(4)-T(4) or C(3)-T(6) small cancellation presentations are finite cyclic groups. This follows from a more general result…
math.LO2021
A computable version of Hall's Harem Theorem and Geometric von Neumann Conjecture
Karol Duda
We prove a computable version of the Hall Harem Theorem where the matching realizes a unary function with controlled sizes of cycles. We apply it to non-amenable computable coarse…