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Does there exist a non-singular matrix $Q \in \mathbb Q^{n\times n}$ with the following two properties?

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#linear-algebra #matrices #modules #free-abelian-group
65
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Partition of minimal generating set

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#group-theory #abelian-groups #finitely-generated #free-abelian-group
51
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Reference on group-presentations

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#group-theory #reference-request #group-presentation #combinatorial-group-theory #free-abelian-group
28
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Splitting of an extension

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#abstract-algebra #simple-groups #group-extensions #free-abelian-group
73
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The maximal free abelian subgroup that can be embedded in $GL(n,\mathbb{Z})$

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#group-theory #abelian-groups #free-abelian-group #maximal-subgroup
218
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Does every finitely presented group have a finite index subgroup with free abelianisation?

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#group-theory #covering-spaces #compact-manifolds #free-abelian-group
56
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Isomorphism between free abelian group and infinite cyclic group generated by identity

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#group-theory #abelian-groups #group-isomorphism #free-abelian-group
66
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A complex of free abelian groups and its homology

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#homology-cohomology #homological-algebra #abelian-groups #free-abelian-group
58
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Hatcher Simplicial homology

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#algebraic-topology #simplicial-complex #free-abelian-group
893
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Is this group free abelian?

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#group-theory #abelian-groups #free-abelian-group
72
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Please check my example of a free abelian group that has the same rank as its subgroup

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#abstract-algebra #group-theory #solution-verification #free-abelian-group
34
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Understanding the rank of a cokernel of a free abelian group homomorphism

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#modules #abelian-groups #free-abelian-group
161
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Subgroups of $\mathbb{Z}^n$ isomorphic to $\mathbb{Z}^n$

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#group-theory #ring-theory #abelian-groups #group-isomorphism #free-abelian-group
424
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Convenient Notations for Free Abelian Group

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#abstract-algebra #free-groups #free-abelian-group
235
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Quotient of two Free Abelian Groups (Checking Computation)

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#abstract-algebra #group-theory #free-groups #free-abelian-group

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