COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > On the residual finiteness of outer automorphism groups

## On the residual finiteness of outer automorphism groupsAdd to your list(s) Download to your calendar using vCal - Ashot Minasyan (Southampton)
- Wednesday 16 February 2011, 16:30-17:30
- MR15.
If you have a question about this talk, please contact Christopher Brookes. A group G is said to be residually finite if the intersection of all finite index subgroups is trivial in G. In 1963 G. Baumslag proved that the full automorphism group Aut(G), of a finitely generated residually finite group G, is residually finite. In general, this result cannot be extended to the outer automorphism group Out(G)=Aut(G)/InnG. In fact, Bumagina and Wise showed that for any finitely presented group S, there exists a residually finite finitely generated group G, such that S is isomorphic to Out(G). During the talk we will discuss various assumptions on G, which give more control over Out(G). In particular, we will show that if, in addition to finite generation and residual finiteness, G has infinitely many ends, then Out(G) is residually finite. We will also discuss other results, treating the situation when G is a non-positively curved group with only one end. This talk is part of the Algebra and Representation Theory Seminar series. ## This talk is included in these lists:- Algebra and Representation Theory Seminar
- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Interested Talks
- MR15
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsSingle Cell seminars at the Wellcome Genome Campus Student Community Action Desiring the Middle East Seminars at Pembroke## Other talksOpen as a Tool to Change Ecosystems The Most Influential Living Philosopher? Whence the force of the law? John Rawls and the course of American legal philosophy Oncological Imaging: introduction and non-radionuclide techniques & radionuclide techniques Beating your final boss battle, or presenting with confidence and style (tough mode) |