On the uniqueness of the smallest embedding cover

2025/09/16 by Dan Haran, Haran, Dan
Computer Science · Mathematics · #Matrix Theory and Algorithms #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2509.12766

Abstract

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.

Citations

• Fundaments of epimorphisms of profinite groups

Related

• Minimal embeddings of small finite groups
• Envelopes and covers for groups
• Minimal cover groups
• Minimal cover groups
• Equal Coverings of Finite Groups