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SUMMARY:Growth and subgroups of Out(F_n). - Yassine Guerch (ENS Lyon)
DTSTART:20230224T134500Z
DTEND:20230224T144500Z
UID:TALK194422@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:Let $n$ be an integer and let $Out(F_n)$ be the outer automorp
 hism group of a nonabelian free group of rank $n$. Let $[g]$ be a conjugac
 y class of $F_n$ and $F \\in Out(F_n)$. The class $[g]$ has exponential gr
 owth 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 struc
 ture result for subgroups of $Out(F_n)$ which shows that\, given a subgrou
 p $H$ of $Out(F_n)$\, there exist generic elements of $H$ which encapture 
 the exponential growth of every element of $H$.
LOCATION:MR13
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