SMS scnews item created by Alex Sherman at Thu 12 Sep 2024 1103
Type: Seminar
Distribution: World
Expiry: 21 Nov 2024
Calendar1: 20 Sep 2024 1200-1300
CalLoc1: Carslaw 275
CalTitle1: Algebra Seminar: The geometry of conjugation in Euclidean isometry groups
Auth: alexs@w447y6s3.staff.wireless.sydney.edu.au (ashe8718) in SMS-SAML

Algebra Seminar: Thomas -- The geometry of conjugation in Euclidean isometry groups

Anne Thomas (USyd) will be speaking in the algebra seminar next week.  We will go out
for lunch after the talk.  

Where: Carslaw 275 

When: Friday September 20, 12-1pm 

Title: The geometry of conjugation in Euclidean isometry groups 

Abstract: We give a simple and beautiful description of the geometry of conjugation
within any split subgroup H of the full isometry group G of Euclidean space.  We prove
that for any h in H, the conjugacy class [h] is described geometrically by the move-set
of its linearisation, while the set of elements conjugating h to a given h’ in [h] is
described by the fix-set of its linearisation.  Examples include affine Coxeter groups,
where we give finer results, certain crystallographic groups, and the group G itself.
This is joint work with Elizabeth Mili’cevi’c and Petra Schwer.


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