Kazhdan groups with infinite outer automorphism group

dc.creatorOllivier, Yann
dc.creatorWise, Daniel T.
dc.date2004-09-13
dc.date.accessioned2026-07-07T05:12:04Z
dc.date.available2026-07-07T05:12:04Z
dc.descriptionFor each countable group $Q$ we produce a short exact sequence $1\to N \to G \to Q\to 1$ where $G$ is f.g. and has a graphical $\frac16$ presentation and $N$ is f.g. and satisfies property $T$. As a consequence we produce a group $N$ with property $T$ such that $\Out(N)$ is infinite. Using the tools developed we are also able to produce examples of nonHopfian and non-coHopfian groups with property $T$. One of our main tools is the use of random groups to achieve certain properties.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0409203
dc.identifierhttp://arxiv.org/abs/math/0409203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72452
dc.subjectGroup Theory
dc.subject20F28,20F06,20E22,20P05
dc.titleKazhdan groups with infinite outer automorphism group
dc.typetext

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