University of Cambridge > Talks.cam > Geometric Group Theory (GGT) Seminar > Growth and subgroups of Out(F_n).

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

Growth and subgroups of Out(F_n).

Download to your calendar using vCal

  • UserYassine Guerch (ENS Lyon)
  • ClockFriday 24 February 2023, 13:45-14:45
  • HouseMR13.

If you have a question about this talk, please contact .

Let $n$ be an integer and let $Out(F_n)$ be the outer automorphism group of a nonabelian free group of rank $n$. Let $[g]$ be a conjugacy class of $F_n$ and $F \in Out(F_n)$. The class $[g]$ has exponential growth under iteration of $F$ if the word length (for a given basis of $F_n$) of $F^m([g])$ grows exponentially fast with $m$. We will present a structure result for subgroups of $Out(F_n)$ which shows that, given a subgroup $H$ of $Out(F_n)$, there exist generic elements of $H$ which encapture the exponential growth of every element of $H$.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

ifm Audit Room, King’s College, Cambridge HEP web page aggregator

Other talks

Title to be confirmed Group Presentation 3 Online Causal Inference Seminar Group Presentation 1 Not-so-noble gases, key tracers of Earth’s habitability: what their behaviour in planetary interiors can tell us? title and abstract tba (joint seminar with Spectral Geometry in the Clouds)
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity