Research output: Contribution to journal › Article

In this short note, we show that R. Thompson's group F admits a normalish amenable subgroup, and that the standard copy of F in R. Thompson's group T is normalish in T. We further conjecture that if F is non-amenable, then T does not admit a normalish amenable subgroup, and therefore that the reduced C^* algebra of T is in fact simple in that case.

Original language | English |
---|---|

Pages (from-to) | 1-4 |

Number of pages | 4 |

Journal | Proceedings of the American Mathematical Society |

Publication status | Submitted - 10 Mar 2016 |

- math.GR, math.FA, 20E07, 46L05

**Discover related content**

Find related publications, people, projects and more using interactive charts.

## On normalish subgroups of the R. Thompson groups

Bleak, C. P., May 2020,*Developments in Language Theory: 24th International Conference, DLT 2020, Tampa, FL, USA, May 11–15, 2020, Proceedings.*Jonoska, N. & Savchuk, D. (eds.). Springer, p. 29-42 (Lecture Notes in Computer Science; vol. 12086).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Embedding right-angled Artin groups into Brin-Thompson groups

Belk, J., Bleak, C. & Matucci, F., 23 Apr 2019, In : Mathematical Proceedings of the Cambridge Philosophical Society. First View, 5 p.Research output: Contribution to journal › Article

## Groups of fast homeomorphisms of the interval and the ping-pong argument

Bleak, C., Brin, M. G., Kassabov, M., Tatch Moore, J. & Zaremsky, M. C. B., 31 Jan 2019, In : Journal of Combinatorial Algebra. 3, 1, p. 1-40Research output: Contribution to journal › Article

## Some isomorphism results for Thompson-like groups

Bleak, C., Donoven, C. & Jonusas, J., 8 Nov 2017, In : Israel Journal of Mathematics. 222, 1, p. 1-19 19 p.*V*_{n}(G)Research output: Contribution to journal › Article

## Some undecidability results for asynchronous transducers and the Brin-Thompson group 2V

Belk, J. & Bleak, C., May 2017, In : Transactions of the American Mathematical Society. 369, 5, p. 3157-3172 16 p.Research output: Contribution to journal › Article

## Sets of universal sequences for the symmetric group and analogous semigroups

Hyde, J., Jonušas, J., Mitchell, J. D. & Péresse, Y. H., May 2020, In : Proceedings of the American Mathematical Society. 148, 5, p. 1917-1931Research output: Contribution to journal › Article

## On the Hausdorff dimension of microsets

Fraser, J. M., Howroyd, D. C., Käenmäki, A. & Yu, H., Nov 2019, In : Proceedings of the American Mathematical Society. 147, 11, p. 4921-4936 16 p.Research output: Contribution to journal › Article

## On The

Fraser, J. M. & Kempton, T., Jan 2018, In : Proceedings of the American Mathematical Society. 146, 1, p. 161-173*L*dimensions of measures on Heuter-Lalley type self-affine sets^{q}Research output: Contribution to journal › Article

## Finite presentability and isomorphism of Cayley graphs of monoids

Awang, J. S., Pfeiffer, M. J. & Ruskuc, N., Nov 2017, In : Proceedings of the American Mathematical Society. 145, 11, p. 4585-4593Research output: Contribution to journal › Article

## The Assouad dimension of self-affine carpets with no grid structure

Fraser, J. M. & Jordan, T., 16 Jun 2017, In : Proceedings of the American Mathematical Society. 145, p. 4905-4918Research output: Contribution to journal › Article

ID: 241562114