Torsion-free abelian groups of rank 1
Infinitely generated abelian groups have very complex structure and are far less well understood than finitely generated abelian groups. Even torsion-free abelian groups are vastly more varied in their characteristics than vector spaces. Torsion-free abelian groups of rank 1 are far more amenable than those of higher rank, and a satisfactory classification exists, even though there are an uncountable number of isomorphism classes.
Q181296
abelian group
Concept
Q142140
finitely generated abelian groups
Concept
Q7827198
torsion-free abelian group
Concept
Q125977
vector space
Concept
Q1260803
rank
UNK
Q1128796
uncountable
Concept
Q7827199
Torsion-free abelian groups of rank 1
Concept
+1^^http://www.w3.org/2001/XMLSchema#decimal
1
NUMBER
subclass of
subclass of