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Groups whose three-generator subgroups are free

Published online by Cambridge University Press:  17 April 2009

Gilbert Baumslag  and
Peter B. Shalen
Gilbert Baumslag
Affiliation:
Department of Mathematics, City College (CUNY), New York, NY 10031, United States of America
Peter B. Shalen
Affiliation:
Department of Mathematics, Statistics and Computer Science, The University of Illinois at Chicago, Chicago, IL 60680United States of America
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Abstract

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We define a certain class of groups, Ck, which we show to contain the class of all k-free groups. Our main theorem shows that certain amalgamated free products of groups in C3, are again in C3. In the appendix we show that many 3-manifold groups belong to Ck for suitable k.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 2 , October 1989 , pp. 163 - 174
Copyright
Copyright © Australian Mathematical Society 1989

References

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