Type: Seminar

Distribution: World

Expiry: 5 Dec 2008

CalTitle1: Algebra Seminar: Michel -- Automorphisms of complex reflection groups

Auth: anthonyh@bari.maths.usyd.edu.au

I report on joint work with Ivan Marin. We prove that any automorphism of an
irreducible finite complex reflection group is, apart from the single
exception of the symmetric group on six letters, the product of automorphisms
of 3 kinds:
- a 'diagram' automorphism, induced by the ambient linear group;
- a central automorphism;
- a 'Galois' automorphism, a new kind of automorphisms which come from an embedding of the Galois group of the defining field into the outer automorphism group using Galois cohomology properties of the reflection representation.
After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. Anthony Henderson anthonyh@maths.usyd.edu.au. |