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DTSTART:19700329T010000
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CATEGORIES:Algebra and Representation Theory Seminar
SUMMARY:On the residual finiteness of outer automorphism g
 roups - Ashot Minasyan (Southampton)
DTSTART;TZID=Europe/London:20110216T163000
DTEND;TZID=Europe/London:20110216T173000
UID:TALK29719AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/29719
DESCRIPTION:A group G is said to be residually finite if the i
 ntersection of all\nfinite index subgroups is triv
 ial in G.\nIn 1963 G. Baumslag proved that the ful
 l automorphism group Aut(G)\, of\na finitely gener
 ated residually finite group G\, is residually fin
 ite.\nIn general\, this result cannot be extended 
 to the outer automorphism\ngroup Out(G)=Aut(G)/Inn
 G. In fact\, Bumagina and Wise showed that for\nan
 y finitely presented group S\, there exists a resi
 dually finite\nfinitely generated group G\, such t
 hat S is isomorphic to Out(G).\nDuring the talk we
  will discuss various assumptions on G\, which giv
 e\nmore control over Out(G). In particular\, we wi
 ll show that if\, in\naddition to finite generatio
 n and residual finiteness\, G has\ninfinitely many
  ends\, then Out(G) is residually finite. We will 
 also\ndiscuss other results\, treating the situati
 on when G is a\nnon-positively curved group with o
 nly one end.
LOCATION:MR15
CONTACT:Christopher Brookes
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