List questions from torsion-groups

Published on 10 Apr 2026 - 5:58

228

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Unique image of torsion groups in the circle group.

Published on 14 Apr 2026 - 0:32

1.5k

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A proof for $\widehat{\Bbb Z_{p^\infty}}\cong Z_p$

Published on 11 Apr 2026 - 15:26

421

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Can an empty set be both torsion and torsion-free group?

Published on 15 Apr 2026 - 3:06

742

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Automorphisms of the Prüfer group

Published on 14 Apr 2026 - 12:06

39

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Hands-on definition of cotorsion quotient

Published on 04 May 2026 - 16:27

86

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Torsion of simple abelian group extension

Published on 03 Apr 2026 - 20:36

35

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Free torsion part of centralizer of a cyclic group

Published on 29 Mar 2026 - 13:55

390

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Let $H$ be a group, if its abelianization is $\mathbb{Z}_2$ does this mean that $H$ has torsion?

Published on 06 May 2026 - 6:54

81

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Is $\lvert 3x+2^{\nu_2(x)}\rvert\leq\lvert x\rvert$ in the monoid quotient $\Bbb N^+/\langle3,4\rangle$?

Published on 03 Nov 2019 - 18:10

35

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If $M=D/(d)$ then $M=t_{p}(M)\oplus t_{q}(M)$

Published on 26 Mar 2026 - 9:46

106

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Subgroups of the Torsion Subgroup of an Elliptic Curve

Published on 30 Mar 2026 - 3:41

199

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If the torsion subset of a group has "finite index", is the group torsion?

Published on 27 Apr 2026 - 1:31

49

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Is there an established concept slightly weaker than torsion, as defined like this?

Published on 26 Mar 2026 - 7:58

125

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Torsion group of $y^2 = x^3 \pm nx$

Published on 26 Mar 2026 - 8:03

List Question

Is the quotient of a torsion-free module torsion-free?

Unique image of torsion groups in the circle group.

A proof for $\widehat{\Bbb Z_{p^\infty}}\cong Z_p$

Can an empty set be both torsion and torsion-free group?

Automorphisms of the Prüfer group

Hands-on definition of cotorsion quotient

Torsion of simple abelian group extension

Free torsion part of centralizer of a cyclic group

Let $H$ be a group, if its abelianization is $\mathbb{Z}_2$ does this mean that $H$ has torsion?

Is $\lvert 3x+2^{\nu_2(x)}\rvert\leq\lvert x\rvert$ in the monoid quotient $\Bbb N^+/\langle3,4\rangle$?

If $M=D/(d)$ then $M=t_{p}(M)\oplus t_{q}(M)$

Subgroups of the Torsion Subgroup of an Elliptic Curve

If the torsion subset of a group has "finite index", is the group torsion?

Is there an established concept slightly weaker than torsion, as defined like this?

Torsion group of $y^2 = x^3 \pm nx$

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