University of Cambridge > Talks.cam > Geometric Group Theory (GGT) Seminar > Virtually unipotent elements of 3-manifold groups

Virtually unipotent elements of 3-manifold groups

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact .

Suppose a group G contains an infinite-order element g such that every finite-dimensional linear representation of G maps some nontrivial power of g to a unipotent matrix. As observed by Button, since unitary matrices are diagonalizable, and since a unipotent matrix is torsion if its entries lie in a field of positive characteristic, such a group G does not admit a faithful finite-dimensional unitary representation, nor is G linear over a field of positive characteristic. We discuss manifestations of the above phenomenon in various finitely generated groups, with an emphasis on 3-manifold groups

This talk is part of the Geometric Group Theory (GGT) Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2021 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity