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10
Math.TechQA.Club
2025-01-13 07:02:55
95
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Isomorphism between free abelian groups that fit into a short exact sequence
Published on
13 Jan 2025 - 7:02
#group-theory
#abelian-groups
#exact-sequence
#group-extensions
#free-abelian-group
114
Views
Finding the quotient of this free abelian group
Published on
12 Jan 2025 - 19:35
#abstract-algebra
#group-theory
#free-groups
#quotient-group
#free-abelian-group
201
Views
Show that if $G$ is free abelian with basis $\{x, y\}$, show that $\{2x+3y, x+y\}$ is also a basis for $G$
Published on
13 Jan 2025 - 7:08
#algebraic-topology
#free-groups
#free-abelian-group
129
Views
Munkres' Section 67 Exercise 6 --- Rank of the subgroups of free abelian group with finite rank.
Published on
13 Jan 2025 - 7:10
#algebraic-topology
#free-groups
#free-abelian-group
393
Views
Order of the set of group homomorphisms from $\mathbb{Z}^n$ into an arbitrary finite group $G$.
Published on
13 Jan 2025 - 7:09
#abstract-algebra
#group-theory
#proof-verification
#group-homomorphism
#free-abelian-group
65
Views
What notions, theorems, proofs connect Free Abelian Groups, $F(n)$, factored by a subgroup with eigenvalues and eigenvectors?
Published on
13 Jan 2025 - 7:13
#linear-algebra
#abstract-algebra
#matrices
#eigenvalues-eigenvectors
#free-abelian-group
89
Views
Here I prove every free group is free abelian. Where is the mistake?
Published on
13 Jan 2025 - 6:55
#group-theory
#fake-proofs
#free-groups
#free-abelian-group
257
Views
Grothendieck Group of the integers under multiplication
Published on
13 Jan 2025 - 6:44
#abstract-algebra
#group-theory
#free-abelian-group
96
Views
Any subgroup of free abelian group $\mathbb{Z}^r$ of index $n$ contains subgroup $n\mathbb{Z}^r$.
Published on
13 Jan 2025 - 7:08
#abstract-algebra
#group-theory
#free-groups
#free-abelian-group
461
Views
On free abelian groups
Published on
12 Jan 2025 - 17:34
#group-theory
#abelian-groups
#free-groups
#combinatorial-group-theory
#free-abelian-group
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