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Relative normal-convexity and amalgamations

Published online by Cambridge University Press:  17 April 2009

Stephen G. Brick
Affiliation:
Department of Mathematics, University of Oklahoma, Norman OK 73019, United States of America
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Abstract

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The notion of relative normal-convexity is introduced and its connection to equations over groups is studied. We study the effect on relative normal-convexity by free products, amalgamations, and HNN extensions.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Brick, S.G., ‘Normal-convexity and equations over groups’, Invent. math. 94 (1988), 81104.CrossRefGoogle Scholar
[2]Brick, S.G., ‘A note on coverings and Kervaire complexes’, (preprint).Google Scholar
[3]McCool, J. and Schupp, P.E., ‘On one relator groups and HNN extensions’, J. Austral. Math. Soc. 16 (1973), 249256.Google Scholar
[4]Stallings, J.R., ‘Surfaces in three-manifolds and non-singular equations in groups’, Math. Z. 184 (1983), 117.Google Scholar
[5]Wright, D.G., ‘Ambiently universal sets in E n’, (preprint).Google Scholar