A Wreath Product Approach to Classical Subgroup Theorems

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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

Group Theory, 20E06, 20E07, 20E22

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/209495

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.0027
 http://arxiv.org/abs/0812.0027

Collections

arXiv