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N. N

Oberseminar Geometrie Gruppen-& Modelltheorie:Moritz Rodenhausen (Bonn): Isometric CAT(0) actions.

Thursday, 26.01.2012 10:45 im Raum SR 1d

Mathematik und Informatik

Titel: Isometric CAT(0) actions and centralizers in Aut(F_n) abstract: The main theorem of my talk is that Nielsen generators always act by zero translation length whenever Aut(F_n) acts by isometries on a complete CAT(0) space and n is at least 4. Results like this are interesting to study group homomorphisms out of Aut(F_n). The first proof of the theorem uses a parallelogram law for the translation lengths of two commuting isometries on a CAT(0) space. The second proof requires centralizers in Aut(F_n). Finally I will sketch how to obtain a finite presentation for some centralizers in Aut(F_n).



Angelegt am Monday, 16.01.2012 11:39 von N. N
Geändert am Monday, 16.01.2012 13:13 von N. N
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