The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms Via Dynamics for the Higman-Thompson Groups $G_{n,r}$

Author:   C. Bleak ,  P. Cameron ,  Y. Maissel ,  A. Navas
Publisher:   American Mathematical Society
Volume:   Vol: 301 No: 1510
ISBN:  

9781470471453


Pages:   94
Publication Date:   20 October 2024
Format:   Paperback
Availability:   Out of stock   Availability explained
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The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms Via Dynamics for the Higman-Thompson Groups $G_{n,r}$


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Author:   C. Bleak ,  P. Cameron ,  Y. Maissel ,  A. Navas
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   Vol: 301 No: 1510
ISBN:  

9781470471453


ISBN 10:   1470471450
Pages:   94
Publication Date:   20 October 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1. Introduction 2. Language, notation, and groups 3. More on $G_{n,r,\mathrm {d}}$, $G_{n,r,\mathrm {p}}$, $G_{n,r}$, and $H_{n,r,{\sim }}$ 4. Local actions 5. On the rational group $\mathcal {R}_n$ and the related groups $\mathcal {R}_{n,r}$ 6. Automorphisms admit few local actions 7. Finding our place in the rational group $\mathcal {R}_{n,r}$ 8. Combinatorial properties of strongly synchronizing transducers 9. The natural quotient $\mathcal {B}_{n,r}\twoheadrightarrow \mathcal {O}_{n,r}$ 10. Root functions and detecting flavours of synchronicity 11. Open problems A. The inversion construction

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Author Information

C. Bleak, University of St. Andrews, Scotland, United Kingdom. P. Cameron, University of St. Andrews, Scotland, United Kingdom. Y. Maissel, Ben-Gurion University of the Negev, Beer-Sheva, Israel. A. Navas, University of Santiago de Chile, Chile. F. Olukoya, University of St. Andrews, Scotland, United Kingdom.

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