Orderings of Witzel–Zaremsky–Thompson groups

ABSTRACT

We prove the orderability of the Witzel-Zaremsky-Thompson group for a direct system of orderable groups under a certain compatibility assumption.

KEYWORDS:

• Braid groups
• braided Thompson group
• Dehornoy ordering
• orderings
• Thompson-like groups
• Thompson’s groups
• Witzel–Zaremsky–Thompson groups

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• Primary 20F60
• Secondary 20B07, 20B27, 20E99, 20F36

Acknowledgments

The author is grateful to the referee for carefully reading the manuscript and pointing out mistake in it. The author was supported by JSPS Research Fellowships for Young Scientists (26⋅110).