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arXiv · 2409.12621

The Maximality of $T$ in Thompson's group $V$

James Belk·Collin Bleak·Martyn Quick·Rachel Skipper
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Abstract

We show that R. Thompson's group $T$ is a maximal subgroup of the group $V$. The argument provides examples of foundational calculations which arise when expressing elements of $V$ as products of transpositions of basic clopen sets in Cantor space $\mathfrak{C}$.

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James Belk, Collin Bleak, Martyn Quick, Rachel Skipper. 2024-09-19. The Maximality of $T$ in Thompson's group $V$. https://arxiv.org/abs/2409.12621

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