3 papers
math.GR2025
On the uniqueness of the smallest embedding cover
Dan Haran
Using group theoretic methods only, we prove the uniqueness of the smallest embedding cover of a profinite group, Problem 36.2.25 of Field Arithmetic, 4th edition.
math.GR2025
Fundaments of epimorphisms of profinite groups
Dan Haran
We propose and develop a theory that allows to characterize epimorphisms of profinite groups in terms of indecomposable epimorphisms.
math.GR2022
Relatively projective pro- groups
Dan Haran, Pavel A. Zalesskii
It is known that the Kurosh Subgroup Theorem does not hold for pro- groups of big cardinality. However, a subgroup of a free pro- product is projective relative to the Ku…