List questions from quotient-group

Published on 06 May 2018 - 5:28

21

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What is a quotient group $\mathbb{Z}_m^*/\langle p\rangle$?

Published on 06 May 2018 - 6:09

70

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Quotient Group $(Z/13Z)^*/<3>$

Published on 08 May 2018 - 4:12

1.8k

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Quotient of a topological group by a closed subgroup is Hausdorff

Published on 25 Mar 2026 - 1:28

142

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How to compute $(\mathbb{Z}\oplus\mathbb{Z}/d\mathbb{Z})/\langle(a,b+d\mathbb{Z})\rangle$?

Published on 27 May 2018 - 19:35

49

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Show that the Quotient Group $Γ_2(p)/Γ_2(p^k)$ is finite.

Published on 22 Mar 2026 - 13:43

518

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Well definedness of factor group multiplication

Published on 25 Mar 2026 - 4:57

580

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kernel of quotient is quotient of kernel?

Published on 09 Jun 2018 - 11:03

87

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Why is $H_1(N_g)=\mathbb{Z}^{g-1}\oplus\mathbb{Z}_2$?

Published on 09 Jun 2018 - 19:07

50

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Isomorphism of quotients over isomorphic commutators

Published on 17 Jun 2018 - 21:33

64

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If a group and its quotient group are isomorphic, the normal subgroup only has identity element?

Published on 26 Jun 2018 - 16:35

105

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Why do we not have any subgroup of ${\mathbb Z}/{4 \mathbb Z}$ which maps isomorphically to the quotient group?

Published on 07 Jul 2018 - 6:05

111

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What does $\Bbb Z[\frac16]/\Bbb Z$ and its subgroups look like?

Published on 10 Jul 2018 - 9:16

55

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$J/I\trianglelefteq R/J$ Ideal

Published on 17 Mar 2026 - 16:41

56

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Condition for preserving the order of an element in quotient group

Published on 17 Mar 2026 - 15:51

List Question

Is $G$ isomorphic to $\frac{G}{H}\times H$?

What is a quotient group $\mathbb{Z}_m^*/\langle p\rangle$?

Quotient Group $(Z/13Z)^*/<3>$

Quotient of a topological group by a closed subgroup is Hausdorff

How to compute $(\mathbb{Z}\oplus\mathbb{Z}/d\mathbb{Z})/\langle(a,b+d\mathbb{Z})\rangle$?

Show that the Quotient Group $Γ_2(p)/Γ_2(p^k)$ is finite.

Well definedness of factor group multiplication

kernel of quotient is quotient of kernel?

Why is $H_1(N_g)=\mathbb{Z}^{g-1}\oplus\mathbb{Z}_2$?

Isomorphism of quotients over isomorphic commutators

If a group and its quotient group are isomorphic, the normal subgroup only has identity element?

Why do we not have any subgroup of ${\mathbb Z}/{4 \mathbb Z}$ which maps isomorphically to the quotient group?

What does $\Bbb Z[\frac16]/\Bbb Z$ and its subgroups look like?

$J/I\trianglelefteq R/J$ Ideal

Condition for preserving the order of an element in quotient group

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