Torsion-free abelian groups revisited
Copyright policy )Torsion-free abelian groups revisited
Let G be a torsion-free abelian group of finite rank. The orbits of the action of Aut( G ) on the set of maximal independent subsets of G determine the indecomposable decompositions. G contains a direct sum of pure strongly indecomposable groups as a subgroup of finite index.
- University of Western Australia Australia
Torsion-free groups, finite rank, Direct sums, direct products, etc. for abelian groups, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, 20K15, 20K25, 20K30, finite rank torsion-free abelian group, FOS: Mathematics, automorphism group, orbits of a group action, Group Theory (math.GR), strongly indecomposable summand, Mathematics - Group Theory
Torsion-free groups, finite rank, Direct sums, direct products, etc. for abelian groups, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, 20K15, 20K25, 20K30, finite rank torsion-free abelian group, FOS: Mathematics, automorphism group, orbits of a group action, Group Theory (math.GR), strongly indecomposable summand, Mathematics - Group Theory
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