Question

Show that homomorphisms from Z to any group G is in bijection with elements of G

score 1.3k · Answer 1 · 2026-03-27 04:18:43

1.3k

Views

Show that homomorphisms from Z to any group G is in bijection with elements of G

Published on 27 Mar 2026 - 4:18

score 128 · Answer 2 · 2026-03-25 19:06:42

128

Views

Determine the set of units $(\Bbb Z/n\Bbb Z)^\times$ for different values of $n$

Published on 25 Mar 2026 - 19:06

score 150 · Answer 3 · 2026-03-25 12:49:40

150

Views

For which pairs of natural numbers m and n does there exist a ring homomorphism $\Bbb Z/n\Bbb Z$→ $\Bbb Z/m\Bbb Z$?

Published on 25 Mar 2026 - 12:49

score 271 · Answer 4 · 2026-03-27 04:21:09

271

Views

Prove that the sign function on permutations is unique in the following sense.

Published on 27 Mar 2026 - 4:21

score 86 · Answer 5 · 2019-09-11 01:09:58

86

Views

A group homomorphism that doesn't send one into one.

Published on 11 Sep 2019 - 1:09

score 165 · Answer 6 · 2019-09-11 21:45:19

165

Views

How to calculate the group action $ SU (1,1) $ on $ SU (1,1) / U (1) $

Published on 11 Sep 2019 - 21:45

score 309 · Answer 7 · 2019-09-13 09:29:20

309

Views

How to find all homomorphisms from $(Z_{11}^*,\times)$ to $(Z_6,+)$

Published on 13 Sep 2019 - 9:29

score 57 · Answer 8 · 2019-09-17 23:45:24

57

Views

Let $\phi : G\twoheadrightarrow H$. Suppose $W, K$ are conjugate in $H$. Show $\phi^{-1}(W), \phi^{-1}(K)$ are conjugate in $G$.

Published on 17 Sep 2019 - 23:45

score 955 · Answer 9 · 2019-09-18 05:12:28

955

Views

A step of proof of fundamental theorem of homomorphism of groups

Published on 18 Sep 2019 - 5:12

score 95 · Answer 10 · 2019-09-18 12:09:17

95

Views

What did I wrong in this question?(Group homomorphism and primitive roots)

Published on 18 Sep 2019 - 12:09

score 78 · Answer 11 · 2019-09-19 03:44:14

78

Views

The number of the group homomorphsim , $\phi : S_3 \to S_3$

Published on 19 Sep 2019 - 3:44

score 36 · Answer 12 · 2019-09-21 03:18:23

36

Views

The function $\psi_s:su(2)\longrightarrow B(H_s)$ is a homomorphis

Published on 21 Sep 2019 - 3:18

score 1.6k · Answer 13 · 2019-09-22 18:54:36

1.6k

Views

Homomorphism from $S_4$ to $S_3$

Published on 22 Sep 2019 - 18:54

score 423 · Answer 14 · 2019-09-22 23:03:33

423

Views

Group of group homomorphisms and conjugation

Published on 22 Sep 2019 - 23:03

score 157 · Answer 15 · 2019-09-23 14:41:50

157

Views

Compute the cardinality of $\mathbf{Hom}(G,C)$

Published on 23 Sep 2019 - 14:41

List Question

Show that homomorphisms from Z to any group G is in bijection with elements of G

Determine the set of units $(\Bbb Z/n\Bbb Z)^\times$ for different values of $n$

For which pairs of natural numbers m and n does there exist a ring homomorphism $\Bbb Z/n\Bbb Z$→ $\Bbb Z/m\Bbb Z$?

Prove that the sign function on permutations is unique in the following sense.

A group homomorphism that doesn't send one into one.

How to calculate the group action $ SU (1,1) $ on $ SU (1,1) / U (1) $

How to find all homomorphisms from $(Z_{11}^*,\times)$ to $(Z_6,+)$

Let $\phi : G\twoheadrightarrow H$. Suppose $W, K$ are conjugate in $H$. Show $\phi^{-1}(W), \phi^{-1}(K)$ are conjugate in $G$.

A step of proof of fundamental theorem of homomorphism of groups

What did I wrong in this question?(Group homomorphism and primitive roots)

The number of the group homomorphsim , $\phi : S_3 \to S_3$

The function $\psi_s:su(2)\longrightarrow B(H_s)$ is a homomorphis

Homomorphism from $S_4$ to $S_3$

Group of group homomorphisms and conjugation

Compute the cardinality of $\mathbf{Hom}(G,C)$

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