List questions from quotient-group

Published on 12 Apr 2026 - 2:31

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Isomorphism theorem like theorem for cosets

Published on 12 Apr 2026 - 21:34

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Conditions for cyclic quotient group

Published on 08 Apr 2026 - 21:56

228

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Confusion about the quotient $\mathbb Z^4/H$

Published on 11 Apr 2026 - 9:56

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Quotient Group $U(1)/\mathbb{Z} $

Published on 11 Apr 2026 - 21:38

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Notation for quotient space obtained by collapsing a subset to a point?

Published on 14 Apr 2026 - 19:08

318

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The minimal size of generating set of quotient group

Published on 15 Apr 2026 - 5:31

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Polynomial in quotient ring

Published on 17 Apr 2026 - 3:38

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Group Z/3Z Proof of Subgroup.

Published on 25 Mar 2026 - 9:38

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Quotient of Quotient Group

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A group $G$ is torsion-free, if a normal subgroup $H$ and $G/H$ are both torsion-free

Published on 14 Apr 2026 - 5:07

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Show that $\phi : H\to HN/N$ defined by $\phi(h)=hN$ is injective.

Published on 13 Apr 2026 - 1:37

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If $G= \mathbb{Z}/10\mathbb{Z}$ and $H= 2\mathbb{Z}/10\mathbb{Z}$, then the quotient group $G/H$ is isomorphic to ...

Published on 12 Apr 2026 - 11:40

147

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Every finite group has a a sequence of nested subgroups where adjacent elements are normal

Published on 12 Apr 2026 - 20:58

81

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Does the notation $(G/A)/B$ actually make sense?

Published on 13 Apr 2026 - 19:52

List Question

How to find $(\mathbb Z/12\times \mathbb Z/12)/\left<(a^4,a^6)\right>$?

Isomorphism theorem like theorem for cosets

Conditions for cyclic quotient group

Confusion about the quotient $\mathbb Z^4/H$

Quotient Group $U(1)/\mathbb{Z} $

Notation for quotient space obtained by collapsing a subset to a point?

The minimal size of generating set of quotient group

Polynomial in quotient ring

Group Z/3Z Proof of Subgroup.

Quotient of Quotient Group

A group $G$ is torsion-free, if a normal subgroup $H$ and $G/H$ are both torsion-free

Show that $\phi : H\to HN/N$ defined by $\phi(h)=hN$ is injective.

If $G= \mathbb{Z}/10\mathbb{Z}$ and $H= 2\mathbb{Z}/10\mathbb{Z}$, then the quotient group $G/H$ is isomorphic to ...

Every finite group has a a sequence of nested subgroups where adjacent elements are normal

Does the notation $(G/A)/B$ actually make sense?

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