A Wreath Product Approach to Classical Subgroup Theorems
Group Theory
2008-12-04 v2
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.
Keywords
Cite
@article{arxiv.0812.0027,
title = {A Wreath Product Approach to Classical Subgroup Theorems},
author = {Luis Ribes and Benjamin Steinberg},
journal= {arXiv preprint arXiv:0812.0027},
year = {2008}
}