List questions from quotient-group

Published on 10 Sep 2020 - 18:37

133

Views

Can the quotient by a nontrivial normal subgroup be isomorphic to the group?

Published on 11 Sep 2020 - 5:34

92

Views

Does the quotient ${\mathrm{Sp}(n) \over \mathrm{U}(n)}$ have group structure?

Published on 11 Sep 2020 - 10:49

82

Views

Comparing 2 universal properties.

Published on 21 Mar 2026 - 22:20

37

Views

What does it mean for $g_{1}G^{'} = g_{2}G^{'}$ in cosets?

Published on 21 Mar 2026 - 22:20

124

Views

Let $\varphi : G \rightarrow G/N$. Prove/Dis-prove that there exists a right inverse of $\varphi$ that is homomorphic.

Published on 13 Sep 2020 - 11:44

37

Views

How to prove the types of coset for a given multiplicative group?

Published on 16 Sep 2020 - 12:37

217

Views

Explanation with Examples: Finite Subgroup of Rational Numbers Modulo Squares and Its Elements

Published on 19 Sep 2020 - 16:29

110

Views

Why $g^{m}N=(gN)^{m}=N$?

Published on 20 Sep 2020 - 23:31

656

Views

Find the number of homomorphisms from $Z_m$ to $S_n$

Published on 22 Sep 2020 - 13:13

115

Views

Group structure of this quotient group

Published on 24 Sep 2020 - 16:31

212

Views

Not a quotient map on K-topology

Published on 26 Sep 2020 - 7:29

53

Views

Identify the following elements in $S_4$ modulo $H = \{e, (12)(34), (13)(24), (14)(23)\}$

Published on 26 Sep 2020 - 15:44

128

Views

Connected components of a coset space

Published on 26 Mar 2026 - 4:30

298

Views

Is the quotient group $\mathbb{Z}_4 \times \mathbb{Z}_6 / \langle(2,2)\rangle$ cyclic?

Published on 01 Oct 2020 - 13:43

List Question

Is there a bijection between normal subgroups and quotient groups?

Can the quotient by a nontrivial normal subgroup be isomorphic to the group?

Does the quotient ${\mathrm{Sp}(n) \over \mathrm{U}(n)}$ have group structure?

Comparing 2 universal properties.

What does it mean for $g_{1}G^{'} = g_{2}G^{'}$ in cosets?

Let $\varphi : G \rightarrow G/N$. Prove/Dis-prove that there exists a right inverse of $\varphi$ that is homomorphic.

How to prove the types of coset for a given multiplicative group?

Explanation with Examples: Finite Subgroup of Rational Numbers Modulo Squares and Its Elements

Why $g^{m}N=(gN)^{m}=N$?

Find the number of homomorphisms from $Z_m$ to $S_n$

Group structure of this quotient group

Not a quotient map on K-topology

Identify the following elements in $S_4$ modulo $H = \{e, (12)(34), (13)(24), (14)(23)\}$

Connected components of a coset space

Is the quotient group $\mathbb{Z}_4 \times \mathbb{Z}_6 / \langle(2,2)\rangle$ cyclic?

Trending Questions

Popular # Hahtags

Popular Questions