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ON THE FREIHEITSSATZ IN CERTAIN ONE-RELATOR FREE PRODUCTS. III

Published online by Cambridge University Press:  14 October 2002

Robert Shwartz
Robert Shwartz
Affiliation:
Department of Mathematics, Technion—Israel Institute of Technology, Haifa 32000, Israel ([email protected])
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Abstract

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We study one-relator free products in which the relator has free-product length $4$. We find conditions for such presentations to have a Freiheitssatz and classify all non-aspherical presentations under certain conditions.

AMS 2000 Mathematics subject classification: Primary 20F05; 20F06; 20F10

Keywords

Freiheitssatzsmall cancellationcombinatorial group theory
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 45 , Issue 3 , October 2002 , pp. 693 - 700
Copyright
Copyright © Edinburgh Mathematical Society 2002