Schreier systems in free products

1 July 1965

journal article
research article
Published by Cambridge University Press (CUP) in Proceedings of the Glasgow Mathematical Association

Vol. 7 (2) , 61-79
https://doi.org/10.1017/s204061850003522x

Abstract

In 1927 Schreier [8] proved the Nielsen-Schreier Theorem that a subgroup H of a free group F is a free group by selecting a left transversal for H in F possessing a certain cancellation property. Hall and Rado [5] call a subset T of a free group F a Schreier system in F if it possesses this cancellation property, and consider the existence of a subgroup H of F such that a given Schreier system T is a left transversal for H in F.

Keywords

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