5 papers · 1 filter
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…
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…
Absence of twisting for non-trivial discrete torsion
Primoz Moravec
We study discrete torsion for the --torus with finite symmetry group from the Dijkgraaf--Witten viewpoint. A class in assigns a phase to each flat --bundle,…
Quasi-affine and quasi-quadratic maps of groups with non-abelian targets
Primoz Moravec
It is shown that the middle quasi-homomorphisms of Fujiwara and Kapovich are precisely constant perturbations of quasi-homomorphisms. Quasi-polynomial maps are defined and their co…
The powerful class of Sylow subgroups of finite groups
Primoz Moravec
The paper explores the effect of powerful class of Sylow -subgroups of a given finite group on control of transfer or fusion. We also find an explicit bound for the -length o…