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math.GR2026
Uniform exponent bounds for integral group homology
Primoz Moravec
We prove that, in each fixed degree, the exponent of the integral homology of a finite group is bounded solely in terms of the degree and the exponent of the group. The proof combi…
math.GR2026
Polynomial permutation stability, soficity, and universal polynomial groups
Primoz Moravec
We introduce polynomial permutation stability, extending classical permutation stability from homomorphisms to polynomial maps of groups. The universal polynomial group $\operatorn…