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- Collin Bleak, DANIEL LANOUE
- 2008

We give a short argument showing that if m, n âˆˆ {1, 2, . . .} âˆª {Ï‰}, then the groups mV and nV are not isomorphic. This answers a question of Brin.

- Collin Bleak, Francesco Matucci, Max NeunhÃ¶ffer
- J. London Math. Society
- 2016

Lehnert and Schweitzer show in [21] that R. Thompsonâ€™s group V is a co-context-free (coCF ) group, thus implying that all of its finitely generated subgroups are also coCF groups. Also, Lehnert showsâ€¦ (More)

- Collin Bleak, ALEXANDER FELâ€™SHTYN, Daciberg L. GonÃ§alves
- 2008

In this short article, we prove that any automorphism of the R. Thompsonâ€™s group F has infinitely many twisted conjugacy classes. The result follows from the work of Brin [2], together with aâ€¦ (More)

- Collin Bleak, Martin Kassabov, Francesco Matucci
- IJAC
- 2011

In this partly expository paper, we study the set A of groups of orientation-preserving homeomorphisms of the circle S which do not admit non-abelian free subgroups. We use classical results aboutâ€¦ (More)

ABSTACT: The authors classify the finite index subgroups of R. Thomp-son's group F. All such groups that are not isomorphic to F are non-split extensions of finite cyclic groups by F. Theâ€¦ (More)

In a recent paper Uffe Haagerup and Kristian Knudsen Olesen show that for Richard Thompsonâ€™s group T , if there exists a finite set H which can be decomposed as disjoint union of sets H1 and H2 withâ€¦ (More)

- Collin Bleak
- 2013

We investigate some product structures in R. Thompsonâ€™s group V , primarily by studying the topological dynamics associated with V â€™s action on the Cantor set C. We draw attention to the class D(V,C)â€¦ (More)

- Collin Bleak
- 2010

My research primarily uses close analysis of the dynamics of a group or semigroup action on a space to discern properties of the group or semigroup. In particular, I am primarily interested in groupsâ€¦ (More)

- Collin Bleak
- 2005

We investigate subgroups of the group PLo(I) of piecewise-linear, orientation preserving homeomorphisms of the unit interval with finitely many breaks in slope, and also subgroups of Thompsonâ€™s groupâ€¦ (More)

- Collin Bleak
- 2008

Let PL0(I) represent the group of orientation-preserving piecewise-linear homeomorphisms of the unit interval which admit finitely many breaks in slope, under the operation of composition. We find aâ€¦ (More)