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math.CO2025
Hall's Harem Theorem with controlled sizes of cycles
Karol Duda
We prove a new version of Hall's Harem Theorem, where the final matching is realized by a unary function with additional conditions on behavior of cycles. The present paper can be…
math.GR2025
Computable Folner sequences of amenable groups
Karol Duda, Aleksander Ivanov
The paper considers computable Folner sequences in computably enumerable amenable groups. We extend some basic results of M. Cavaleri on existence of such sequences to the case of…