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SUMMARY:On the residual finiteness of outer automorphism groups - Ashot Mi
 nasyan (Southampton)
DTSTART:20110216T163000Z
DTEND:20110216T173000Z
UID:TALK29719@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:A group G is said to be residually finite if the intersection 
 of all\nfinite index subgroups is trivial in G.\nIn 1963 G. Baumslag prove
 d that the full automorphism group Aut(G)\, of\na finitely generated resid
 ually finite group G\, is residually finite.\nIn general\, this result can
 not be extended to the outer automorphism\ngroup Out(G)=Aut(G)/InnG. In fa
 ct\, Bumagina and Wise showed that for\nany finitely presented group S\, t
 here exists a residually finite\nfinitely generated group G\, such that S 
 is isomorphic to Out(G).\nDuring the talk we will discuss various assumpti
 ons on G\, which give\nmore control over Out(G). In particular\, we will s
 how that if\, in\naddition to finite generation and residual finiteness\, 
 G has\ninfinitely many ends\, then Out(G) is residually finite. We will al
 so\ndiscuss other results\, treating the situation when G is a\nnon-positi
 vely curved group with only one end.
LOCATION:MR15
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