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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.

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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

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