Hebrew University
Amitsur Algebra Seminar
Time: Thursday, February 2, 12:00-13:15
Place: math 209
Speaker: Menny Aka (HUJI)
Title: Arithmetic groups with isomorphic finite quotients
Two finitely generated groups have the same set of finite quotients if
and only if their profinite completions are isomorphic. Consider the
map which sends (the isomorphism class of) an S-arithmetic group to
(the isomorphism class of) its profinite completion. We show that for
a wide class of S-arithmetic groups, this map is finite to one, while
the the fibers are of unbounded size.
In the talk I will concentrate on giving interesting families of
non-isomorphic arithmetic groups which are profinitely isomorphic and
explain how they fit in the scheme of my proof.
You are cordially invited!
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Gili Schul   <gili.schul@mail.huji.ac.il>