Question

Do Elements of Odd Order Form a Subgroup

score 608 · Answer 1 · 2026-03-26 09:38:08

608

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Do Elements of Odd Order Form a Subgroup

Published on 26 Mar 2026 - 9:38

score 180 · Answer 2 · 2026-04-13 00:12:12

180

Views

About the tensor product of two abelian torsion-free groups.

Published on 13 Apr 2026 - 0:12

score 136 · Answer 3 · 2026-03-26 11:08:13

136

Views

A group satisfying the minimal condition on subgroups is a torsion group.

Published on 26 Mar 2026 - 11:08

score 539 · Answer 4 · 2026-03-25 21:22:58

539

Views

Decomposing a module into a direct sum of torsion and free part?

Published on 25 Mar 2026 - 21:22

score 129 · Answer 5 · 2026-03-25 21:51:07

129

Views

Let $F_n$ be free on $n$ letters and $g_1,...,g_{2m}\in F_n$. Can $F_n/⟨⟨[g_1,g_2],...,[g_{2m-1},g_{2m}]⟩⟩$ have torsion elements?

Published on 25 Mar 2026 - 21:51

score 279 · Answer 6 · 2026-03-26 11:01:12

279

Views

Applying the fundamental theorem of finitely generated abelian groups to the group $\Bbb Z^3/((1,0,3),(-1,2,1))$

Published on 26 Mar 2026 - 11:01

score 180 · Answer 7 · 2026-05-10 14:54:51

180

Views

On torsion submodules

Published on 10 May 2026 - 14:54

score 226 · Answer 8 · 2026-03-26 11:01:35

226

Views

Trivial intersection of torsion of a module an annihilator of that torsion

Published on 26 Mar 2026 - 11:01

score 301 · Answer 9 · 2026-03-26 12:51:36

301

Views

Applying the elementary divisor theorem

Published on 26 Mar 2026 - 12:51

score 82 · Answer 10 · 2026-03-26 14:42:50

82

Views

Clarification on the process of finding torsion coefficients (invariant factors)

Published on 26 Mar 2026 - 14:42

score 294 · Answer 11 · 2026-03-26 09:45:53

294

Views

What does the abelianization mean?

Published on 26 Mar 2026 - 9:45

score 253 · Answer 12 · 2026-03-26 09:37:21

253

Views

Torsion Points over complex Elliptic Curves

Published on 26 Mar 2026 - 9:37

score 1.1k · Answer 13 · 2026-05-10 22:05:12

1.1k

Views

Steps for computing Tor$(\mathbb{Z}, \mathbb{Z}\times\mathbb{Z})$

Published on 10 May 2026 - 22:05

score 277 · Answer 14 · 2026-03-26 11:18:30

277

Views

Is torsion of an elliptic curve determined by its reductions modulo primes?

Published on 26 Mar 2026 - 11:18

score 35 · Answer 15 · 2026-03-26 11:01:12

35

Views

Prove that $\operatorname{Hom}_\mathbb Z(K, T') = 0$ for $K = \mathbb Q / \mathbb Z$ and $T'$ reduced torsion.

Published on 26 Mar 2026 - 11:01

List Question

Do Elements of Odd Order Form a Subgroup

About the tensor product of two abelian torsion-free groups.

A group satisfying the minimal condition on subgroups is a torsion group.

Decomposing a module into a direct sum of torsion and free part?

Let $F_n$ be free on $n$ letters and $g_1,...,g_{2m}\in F_n$. Can $F_n/⟨⟨[g_1,g_2],...,[g_{2m-1},g_{2m}]⟩⟩$ have torsion elements?

Applying the fundamental theorem of finitely generated abelian groups to the group $\Bbb Z^3/((1,0,3),(-1,2,1))$

On torsion submodules

Trivial intersection of torsion of a module an annihilator of that torsion

Applying the elementary divisor theorem

Clarification on the process of finding torsion coefficients (invariant factors)

What does the abelianization mean?

Torsion Points over complex Elliptic Curves

Steps for computing Tor$(\mathbb{Z}, \mathbb{Z}\times\mathbb{Z})$

Is torsion of an elliptic curve determined by its reductions modulo primes?

Prove that $\operatorname{Hom}_\mathbb Z(K, T') = 0$ for $K = \mathbb Q / \mathbb Z$ and $T'$ reduced torsion.

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