A Wreath Product Approach to Classical Subgroup Theorems
classification
🧮 math.GR
keywords
profiniteproofsquasifreesubgrouptheoremwreathabstractapproach
read the original abstract
We provide elementary proofs of the Nielsen-Schreier Theorem and the Kurosh Subgroup Theorem via wreath products. Our proofs are diagrammatic in nature and work simultaneously in the abstract and profinite categories. A new proof that open subgroups of quasifree profinite groups are quasifree is also given.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.