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An identity theorem for multi-relator groups

Published online by Cambridge University Press:  24 October 2008

William A. Bogley
William A. Bogley
Affiliation:
Tufts University, Medford MA 02155, U.S.A. Dartmouth College, Hanover NH 03755, U.S.A.
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Extract

In this paper, the Identity Theorem of R. C. Lyndon and the Freiheitssatz of W. Magnus are extended to a large class of multi-relator groups. Included are the two-relator groups introduced by I. L. Anshel in her thesis, where the Freiheitssatz was proved for those groups. The Identity Theorem provides cohomology computations and a classification of finite subgroups. The methods are geometric; technical tools include the original theorems of Magnus and Lyndon, as well as an amalgamation technique due to J. H. C. Whitehead.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 109 , Issue 2 , March 1991 , pp. 313 - 321
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

REFERENCES

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