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Schreier systems in free products

Published online by Cambridge University Press:  18 May 2009

I. M. S. Dey
I. M. S. Dey
Affiliation:
University of Sussex
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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.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 7 , Issue 2 , July 1965, pp. 61 - 79
Copyright
Copyright © Glasgow Mathematical Journal Trust 1965

References

REFERENCES

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