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Licensed Unlicensed Requires Authentication Published by De Gruyter August 17, 2006

A strong form of residual finiteness for groups

  • Jon M Corson EMAIL logo and Thomas J Ratkovich
From the journal Journal of Group Theory

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.

Received: 2005-01-20
Revised: 2005-06-04
Published Online: 2006-08-17
Published in Print: 2006-07-01

© Walter de Gruyter

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