<p>We analyze the Borel complexity of the bi&209;embeddability relation for different classes of countable abelian groups. Most notably, we use the Ulm theory to prove that bi&209;embeddability is incomparable with isomorphism in the case of <i>p</i>&209;groups, and torsion groups. As I will explain, our result contrasts the arguable thesis that the bi&209;embeddability relation on countable abelian <i>p</i>&209;groups has strictly simpler complete invariants than isomorphism.</p><p>This is joint work with Simon Thomas.</p>
The bi-embeddability relation for countable abelian groups
26.04.2018 15:00 - 16:30
Organiser:
KGRC
Location:
SR 101, 2. St., Währinger Str. 25