Results 281 to 290 of about 9,649,260 (315)

Cockcroft Properties of Thompson’s Group

Canadian Mathematical Bulletin, 2000
AbstractIn a study of the word problem for groups, R. J. Thompson considered a certain group F of self-homeomorphisms of the Cantor set and showed, among other things, that F is finitely presented. Using results of K. S. Brown and R. Geoghegan, M. N. Dyer showed that F is the fundamental group of a finite two-complex Z2 having Euler characteristic one ...
Bogley, W. A.   +2 more
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Framed Thompson groups

Journal of Knot Theory and Its Ramifications, 2023
We introduce the notion of the framed Thompson group, which can be seen as a categorification of the ordinary Thompson group, and we show how framed links can be obtained from elements of the framed Thompson group.
Kontogeorgis, Aristides   +1 more
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Quasi-isometric Embeddings from Generalised Thompson’s Groups to Thompson’s Group T

Tokyo Journal of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Geometry of the Thompson Group

Journal of Algebra
Let \(E=\mathsf{Th}\) be the sporadic Thompson group found by \textit{J. G. Thompson} [J. Algebra 38, 525--530 (1976; Zbl 0361.20027)] and constructed by \textit{P. E. Smith} [Bull. Lond. Math. Soc. 8, 161--165 (1976; Zbl 0348.20015)]. Maximal subgroups of \(E\) were determined by \textit{S. A. Linton} [J. Lond. Math. Soc., II. Ser. 39, No.
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THE THOMPSON GROUP F IS AMENABLE

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2009
Amenability of some discrete subgroups of the group of diffeomorphisms [Formula: see text] of interval is proved. As a consequence, a solution of the problem of amenability of the Thompson group F is given.
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