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Jon M Corson, Thomas J Ratkovich

A strong form of residual finiteness for groups

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 of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 9, 07/2006
Pages: 497 - 505

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