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Bull. Korean Math. Soc. 2005; 42(3): 555-561
Printed September 1, 2005
Copyright © The Korean Mathematical Society.
The residual finiteness of certain HNN extensions
Wong Peng Choon and Wong Kok Bin
University of Malaya, University of Malaya
In this note we give characterizations for certain HNN extensions with central associated subgroups to be residually finite. We then apply our results to HNN extensions of polycyclic-by-finite groups.
Keywords: HNN extensions, residually finite, polycyclic-by-finite groups, abelian groups
MSC numbers: Primary 20E06, 20E26
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