AbstractWe prove that the isomorphism problem for torsion-free Abelian groups is as complicated as any isomorphism problem could be in terms of the analytical hierarchy, namely Σ11 complete
The group isomorphism problem asks whether two given groups are isomorphic or not. Whereas the case ...
AbstractWe study the computational complexity of the isomorphism and equivalence problems on systems...
We consider the problem of testing isomorphism of groups of order n given by Cayley tables. The triv...
AbstractWe prove that the isomorphism problem for torsion-free Abelian groups is as complicated as a...
We prove that the Borel space of torsion-free Abelian groups with domain $\omega$ is Borel complete,...
We study here some foundational aspects of the classification problem for torsion-free abelian group...
We study here some foundational aspects of the classification problem for torsion-free abelian group...
In recent years, a major theme in descriptive set theory has been the study of the Borel complexity ...
AbstractGreg Hjorth and Simon Thomas proved that the classification problem for torsion-free abelian...
AbstractConfirming a conjecture of G. Hjorth and A. Kechris (1996, Ann. Pure Appl. Logic82, 221–272)...
The search for complete sets of invaxiants is a recurrent theme in the theory of abeliaR groups. Thi...
AbstractLet K be the Krull-Schmidt-Grothendieck group for the category of finite rank torsion free a...
Theories of classification distinguish classes with some good structure theorem from those for which...
AbstractWe consider the problem of determining if two finite groups are isomorphic. The groups are a...
We investigate the question: ``Can there be a non-continuous isomorphism between two profinite group...
The group isomorphism problem asks whether two given groups are isomorphic or not. Whereas the case ...
AbstractWe study the computational complexity of the isomorphism and equivalence problems on systems...
We consider the problem of testing isomorphism of groups of order n given by Cayley tables. The triv...
AbstractWe prove that the isomorphism problem for torsion-free Abelian groups is as complicated as a...
We prove that the Borel space of torsion-free Abelian groups with domain $\omega$ is Borel complete,...
We study here some foundational aspects of the classification problem for torsion-free abelian group...
We study here some foundational aspects of the classification problem for torsion-free abelian group...
In recent years, a major theme in descriptive set theory has been the study of the Borel complexity ...
AbstractGreg Hjorth and Simon Thomas proved that the classification problem for torsion-free abelian...
AbstractConfirming a conjecture of G. Hjorth and A. Kechris (1996, Ann. Pure Appl. Logic82, 221–272)...
The search for complete sets of invaxiants is a recurrent theme in the theory of abeliaR groups. Thi...
AbstractLet K be the Krull-Schmidt-Grothendieck group for the category of finite rank torsion free a...
Theories of classification distinguish classes with some good structure theorem from those for which...
AbstractWe consider the problem of determining if two finite groups are isomorphic. The groups are a...
We investigate the question: ``Can there be a non-continuous isomorphism between two profinite group...
The group isomorphism problem asks whether two given groups are isomorphic or not. Whereas the case ...
AbstractWe study the computational complexity of the isomorphism and equivalence problems on systems...
We consider the problem of testing isomorphism of groups of order n given by Cayley tables. The triv...