Center and torsion of a quotient of the group of piecewise linear homeomorphisms of the real line

Swarup Bhowmik

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arXiv · 2401.10188

Center and torsion of a quotient of the group of piecewise linear homeomorphisms of the real line

Swarup Bhowmik

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Abstract

In this article, we show that the group comprising piecewise-linear homeomorphisms of the real line with bounded slopes is not simple. Furthermore, we establish that a quotient of this group is torsion-free, and importantly, the center of that quotient group is indeed trivial.

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BibTeX RIS

Swarup Bhowmik. 2024-01-18. Center and torsion of a quotient of the group of piecewise linear homeomorphisms of the real line. https://arxiv.org/abs/2401.10188

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