Question

Do Elements of Odd Order Form a Subgroup

score 607 · Answer 1 · 2020-03-11 14:29:49

607

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Do Elements of Odd Order Form a Subgroup

Published on 11 Mar 2020 - 14:29

score 177 · Answer 2 · 2020-03-11 21:29:18

177

Views

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

Published on 11 Mar 2020 - 21:29

score 135 · Answer 3 · 2020-03-12 00:28:13

135

Views

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

Published on 12 Mar 2020 - 0:28

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 278 · Answer 6 · 2020-04-30 02:27:07

278

Views

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

Published on 30 Apr 2020 - 2:27

score 178 · Answer 7 · 2020-05-08 05:47:26

178

Views

On torsion submodules

Published on 08 May 2020 - 5:47

score 225 · Answer 8 · 2020-05-09 02:01:18

225

Views

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

Published on 09 May 2020 - 2:01

score 300 · Answer 9 · 2020-05-25 00:14:32

300

Views

Applying the elementary divisor theorem

Published on 25 May 2020 - 0:14

score 80 · Answer 10 · 2020-06-01 20:51:32

80

Views

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

Published on 01 Jun 2020 - 20:51

score 293 · Answer 11 · 2020-06-02 02:32:38

293

Views

What does the abelianization mean?

Published on 02 Jun 2020 - 2:32

score 252 · Answer 12 · 2020-06-05 17:01:01

252

Views

Torsion Points over complex Elliptic Curves

Published on 05 Jun 2020 - 17:01

score 1.1k · Answer 13 · 2026-03-25 15:38:56

1.1k

Views

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

Published on 25 Mar 2026 - 15:38

score 276 · Answer 14 · 2020-07-06 22:31:32

276

Views

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

Published on 06 Jul 2020 - 22:31

score 34 · Answer 15 · 2020-07-30 14:38:53

34

Views

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

Published on 30 Jul 2020 - 14:38

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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