Abstract
Let G be a nilpotent group with torsion subgroup τ(G). Then every quotient of G is residually finite if and only if G/τ(G) has no quasicyclic section and every primary component of τ(G) is an abelian-by-finite group with finite exponent.
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Nilpotent groups with every quotient residually finite
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Citation Information: Journal of Group Theory. Volume 5, Issue 2, Pages 199–217, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/jgth.5.2.199, February 2008
Publication History:
- Received:
- 2000-11-30
- Revised:
- 2001-05-28
- Published Online:
- 2008-02-22
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