List questions from quotient-group

Published on 05 Aug 2020 - 11:15

49

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What are sufficient prerequisites for the quotient induced by an order isomorphism to induce a well-order?

Published on 07 Aug 2020 - 9:44

37

Views

problem on $S_n$, quotient and isomorphism

Published on 08 Aug 2020 - 7:07

131

Views

Simple question about group action on Pullbacks in the quotient stack $[X/G]$

Published on 25 Mar 2026 - 10:52

61

Views

Defining a quotient field of a field using multiplicative subgroup possibly?

Published on 12 Aug 2020 - 2:53

49

Views

What is the intuition behind $R= (\Bbb{Z}/3\Bbb{Z})[X] /\lt X^3 + \bar2 X^2 + X + \bar1 \gt $?

Published on 12 Aug 2020 - 13:55

2.7k

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If $H$ is a subgroup of a finite abelian group $G$, then $G$ has a subgroup that is isomorphic to $G/H$.

Published on 12 Aug 2020 - 15:44

38

Views

Operation on the group is well defined "in the first and second factor".

Published on 13 Aug 2020 - 20:30

819

Views

Computing the quotient of SL(2,Z) by its commutator subgroup

Published on 25 Mar 2026 - 11:03

479

Views

Proving operations of a quotient ring are well-defined

Published on 23 Aug 2020 - 16:30

154

Views

Elements of quotient group with $\mathbb Z$-basis

Published on 26 Mar 2026 - 23:09

106

Views

Proof of the existence of a well-defined function $\bar{f}$.

Published on 21 Mar 2026 - 22:20

52

Views

When is the center of the quotient equals 1?

Published on 21 Mar 2026 - 22:20

70

Views

If $H = Z(G),$ then $Z(G/H) = 1.$

Published on 08 Sep 2020 - 18:45

35

Views

What is $G/Z(G)$ in case of $G$ is the group of quaternions?

Published on 21 Mar 2026 - 22:20

List Question

All element of the quotient ring $\mathbb{Z}_m/I$ for some $m \in \mathbb{N}$.

What are sufficient prerequisites for the quotient induced by an order isomorphism to induce a well-order?

problem on $S_n$, quotient and isomorphism

Simple question about group action on Pullbacks in the quotient stack $[X/G]$

Defining a quotient field of a field using multiplicative subgroup possibly?

What is the intuition behind $R= (\Bbb{Z}/3\Bbb{Z})[X] /\lt X^3 + \bar2 X^2 + X + \bar1 \gt $?

If $H$ is a subgroup of a finite abelian group $G$, then $G$ has a subgroup that is isomorphic to $G/H$.

Operation on the group is well defined "in the first and second factor".

Computing the quotient of SL(2,Z) by its commutator subgroup

Proving operations of a quotient ring are well-defined

Elements of quotient group with $\mathbb Z$-basis

Proof of the existence of a well-defined function $\bar{f}$.

When is the center of the quotient equals 1?

If $H = Z(G),$ then $Z(G/H) = 1.$

What is $G/Z(G)$ in case of $G$ is the group of quaternions?

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