Schreier systems in free products-Reference-Cited by-同舟云学术

Schreier systems in free products

Published:1965-07 Issue:2 Volume:7 Page:61-79
ISSN:2040-6185
Container-title:Proceedings of the Glasgow Mathematical Association
language:en
Short-container-title:Proceedings of the Glasgow Mathematical Association

Author:

Dey I. M. S.

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. A proof of the subgroup theorem for free products

2. The Reidemeister‐Schreier and Kuroš subgroup theorems

3. Die Untergruppen der freien Gruppen

4. Coset representations in free groups

5. 1. Dey I. M. S. , Schreier systems in free products, Ph.D. Thesis (Manchester, 1963).

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