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15
117
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When is $\mathbb{Z}/m\mathbb{Z}$ a module over $\mathbb{Z}/n\mathbb{Z}?$

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#modules #torsion-groups
49
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Show that if $y$ has finite order, then $x^ny=yx^n$ for some $n\in\Bbb{N}^{\ast}$ and all $x$.

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#group-theory #finite-groups #torsion-groups
302
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The n-torsion subgroup $E[n]$ is isomorphic to $Z_n$ x $Z_n$

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#abstract-algebra #elliptic-curves #torsion-groups
146
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$\operatorname{Frac}(A)/A$ as an $A$-module

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#abstract-algebra #group-theory #ring-theory #modules #torsion-groups
415
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Enough injectives in the category of torsion abelian groups

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#homological-algebra #abelian-groups #injective-module #torsion-groups
391
Views

Elliptic Curve Division Points

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#elliptic-curves #cryptography #torsion-groups
238
Views

Non-abelian group, where torsion elements form subgroup

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#abstract-algebra #torsion-groups
118
Views

Infinite finitely generated amenable periodic groups

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#group-theory #geometric-group-theory #finitely-generated #torsion-groups #amenability
422
Views

isogenous elliptic curves have same rank

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#elliptic-curves #torsion-groups
185
Views

Commutator power lying in commutator subgroup

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#group-theory #torsion-groups #nilpotent-groups
187
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Surjective implies injective in this case?

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#abelian-groups #group-isomorphism #group-homomorphism #finitely-generated #torsion-groups
98
Views

What can we say about the homomorphism restricted to this subgroup?

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#abelian-groups #group-homomorphism #finitely-generated #torsion-groups
44
Views

Is the following relation correct?

Published on
#homology-cohomology #tensor-products #torsion-groups
748
Views

elliptic curve $~y^2 = x^3 + 3x +8~ (mod~ 13)~$ - torsion groups

Published on
#elliptic-curves #torsion-groups
15
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how is the target of $\text{tor}_n^R(A,\ )$ related to $\mathbf{Ab}$?

Published on
#abelian-groups #functors #derived-functors #torsion-groups

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