List questions from quotient-group

Published on 01 Jan 2018 - 14:01

104

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The structure of $G/\{e_G\}$

Published on 03 Jan 2018 - 9:13

2.4k

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Finite group with isomorphic normal subgroups and non-isomorphic quotients?

Published on 24 Oct 2010 - 20:29

27.3k

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Why do we define quotient groups for normal subgroups only?

Published on 14 Dec 2010 - 11:54

6k

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Isomorphic quotient groups

Published on 23 May 2011 - 1:33

10.6k

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Circle group addition of fractional parts is well-defined

Published on 29 Sep 2011 - 4:44

7.4k

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Why the term and the concept of quotient group?

Published on 01 Oct 2011 - 16:30

14.8k

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Proving that if $G/Z(G)$ is cyclic, then $G$ is abelian

Published on 03 Nov 2011 - 19:29

6.4k

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Does $G\cong G/H$ imply that $H$ is trivial?

Published on 23 Feb 2026 - 15:08

1.9k

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Quotienting a group by an equivalence relation

Published on 26 Mar 2026 - 2:54

3.6k

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If $H$ is a normal subgroup of $G$, is $G/H \times H \cong G$?

Published on 05 Mar 2013 - 6:45

159

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True /False question based on quotient groups of $S_{n} $ and $A_{n} $.

Published on 31 Jul 2020 - 18:39

513

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Is $F[x]/q(x)=F[x]/\langle q(x)\rangle$?

Published on 02 Aug 2020 - 14:47

485

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Semidirect product of $Z_2$ with itself

Published on 03 Aug 2020 - 14:23

85

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What does it mean if an element generates $F^\times/(F^\times)^n$ for a field $F$?

Published on 04 Aug 2020 - 14:40

List Question

Order of a quotient group

The structure of $G/\{e_G\}$

Finite group with isomorphic normal subgroups and non-isomorphic quotients?

Why do we define quotient groups for normal subgroups only?

Isomorphic quotient groups

Circle group addition of fractional parts is well-defined

Why the term and the concept of quotient group?

Proving that if $G/Z(G)$ is cyclic, then $G$ is abelian

Does $G\cong G/H$ imply that $H$ is trivial?

Quotienting a group by an equivalence relation

If $H$ is a normal subgroup of $G$, is $G/H \times H \cong G$?

True /False question based on quotient groups of $S_{n} $ and $A_{n} $.

Is $F[x]/q(x)=F[x]/\langle q(x)\rangle$?

Semidirect product of $Z_2$ with itself

What does it mean if an element generates $F^\times/(F^\times)^n$ for a field $F$?

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