TY  - JOUR
AB  - We show that the density of elements in Thompson’s groups T and V which have north-south dynamics acting on the circle is positive with respect to a stratification in terms of size. We show that the fraction of element pairs which generate a free subgroup of rank two is positive in both groups with respect to a stratification based on diagram size, which shows that the associated subgroup spectra of T and V contain free groups.
AU  - Cleary, Sean
AU  - Tenas, Ariadna Fossas
DA  - 2021
DO  - 10.17879/06089643673
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 485
PY  - 2021
SP  - 485-496
T2  - Münster Journal of Mathematics
TI  - Elements with north-south dynamics and free subgroups have positive density in Thompson's groups T and V
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-06089644038
Y2  - 2024-11-22T11:32:36
ER  -