A Wreath Product Approach to Classical Subgroup Theorems

Details A Wreath Product Approach to Classical Subgroup Theorems A Wreath Product Approach to Classical Subgroup Theorems

2008-11-28

arxiv.org/abs/0812.0027v2

Mathematics

Group Theory

Scientific paper

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.

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