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Spring 2010 Some reflections on proving groups residually torsion-free nilpotent. I
Gilbert Baumslag
Illinois J. Math. 54(1): 315-325 (Spring 2010). DOI: 10.1215/ijm/1299679751

Abstract

The objective of this note is to give some alternative proofs that the intersection of the normal subgroups with torsion-free nilpotent factor groups of free groups is the identity. Our approach gives rise to a new family of one-relator groups with this property. This family includes, among others, the fundamental groups of orientable surfaces. Our hope is that the idea involved will lead to new insights into these well-known groups, and, even more important for us, a proof that free $\mathbb{Q}$-groups have the same property.

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Gilbert Baumslag. "Some reflections on proving groups residually torsion-free nilpotent. I." Illinois J. Math. 54 (1) 315 - 325, Spring 2010. https://doi.org/10.1215/ijm/1299679751

Information

Published: Spring 2010
First available in Project Euclid: 9 March 2011

zbMATH: 1250.20021
MathSciNet: MR2776998
Digital Object Identifier: 10.1215/ijm/1299679751

Subjects:
Primary: 20E22, 20F14, 20F18, 20F19

Rights: Copyright © 2010 University of Illinois at Urbana-Champaign

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Vol.54 • No. 1 • Spring 2010
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