Applications of weak attraction theory in Out(𝔽𝑁)
| dc.contributor.author | Ghosh, P. | |
| dc.date.accessioned | 2020-12-01T08:32:58Z | |
| dc.date.available | 2020-12-01T08:32:58Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | Given a finite rank free group 𝔽𝑁 of rank ≥3 and two exponentially growing outer automorphisms 𝜓 and 𝜙 with dual lamination pairs 𝛬±𝜓 and 𝛬±𝜙 associated to them, which satisfy a notion of independence described in this paper, we will use the pingpong techniques developed by Handel and Mosher (Subgroup decomposition in Out(F_n), part III: weak attraction theory, 2013) to show that there exists an integer 𝑀>0, such that for every 𝑚,𝑛≥𝑀, the group 𝐺=⟨𝜓𝑚,𝜙𝑛⟩ will be a free group of rank two and every element of this free group which is not conjugate to a power of the generators will be fully irreducible and hyperbolic. | en_US |
| dc.identifier.citation | Geometriae Dedicata, 181(1) | en_US |
| dc.identifier.other | https://doi.org/10.1007/s10711-015-0109-1 | |
| dc.identifier.uri | https://link.springer.com/article/10.1007/s10711-015-0109-1#Abs1 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2430 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Netherlands | en_US |
| dc.subject | Free groups | en_US |
| dc.subject | Outer automorphisms | en_US |
| dc.subject | Train track | en_US |
| dc.title | Applications of weak attraction theory in Out(𝔽𝑁) | en_US |
| dc.type | Article | en_US |