A strong form of residual finiteness for groups
Corson, Jon M; Ratkovich, Thomas J
2006-07-01 00:00:00
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.pngJournal of Group Theoryde Gruyterhttp://www.deepdyve.com/lp/de-gruyter/a-strong-form-of-residual-finiteness-for-groups-5V9FC0Rjpr
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.
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