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A strong form of residual finiteness for groups

A strong form of residual finiteness for groups Abstract In general the extension of a residually finite group by a residually finite group may not be residually finite. We define a strong form of residual finiteness for groups and show that the property is closed under extensions. We then show how groups with this property can be constructed using amalgamated free products and HNN extensions. This leads to a multitude of examples. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Group Theory de Gruyter

A strong form of residual finiteness for groups

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Publisher
de Gruyter
Copyright
Copyright © 2006 by the
ISSN
1433-5883
eISSN
1435-4446
DOI
10.1515/JGT.2006.033
Publisher site
See Article on Publisher Site

Abstract

Abstract In general the extension of a residually finite group by a residually finite group may not be residually finite. We define a strong form of residual finiteness for groups and show that the property is closed under extensions. We then show how groups with this property can be constructed using amalgamated free products and HNN extensions. This leads to a multitude of examples.

Journal

Journal of Group Theoryde Gruyter

Published: Jul 1, 2006

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