Question

$f \colon G_1 \to G_2$ group homomorphism, then $G_1 / N_1 \cong G_2 / N_2$

score 1.3k · Answer 1 · 2018-04-28 13:43:01

1.3k

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$f \colon G_1 \to G_2$ group homomorphism, then $G_1 / N_1 \cong G_2 / N_2$

Published on 28 Apr 2018 - 13:43

score 536 · Answer 2 · 2018-04-28 16:25:10

536

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Find all primes $p$ such that $\phi(x)=x^{13}$ is a homomorphism $\Bbb Z/p\Bbb Z \rightarrow \Bbb Z/p\Bbb Z$.

Published on 28 Apr 2018 - 16:25

score 354 · Answer 3 · 2018-04-28 16:46:25

354

Views

Re: Find all primes $p$ such that $\phi(x)=x^{13}$ is a homomorphism $\Bbb Z/p\Bbb Z \rightarrow \Bbb Z/p\Bbb Z$.

Published on 28 Apr 2018 - 16:46

score 517 · Answer 4 · 2026-03-22 04:47:38

517

Views

Idempotent endomorphisms on $\mathbb{Z}\times \mathbb{Z}$

Published on 22 Mar 2026 - 4:47

score 679 · Answer 5 · 2026-03-25 07:45:03

679

Views

Why every automorphism of $S_3$ is inner Automorphism But This is not case with $S_6$?

Published on 25 Mar 2026 - 7:45

score 2.7k · Answer 6 · 2018-05-02 13:28:15

2.7k

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Finding all group homomorphisms of $S_n\to\mathbb{C}^$ and $A_n\to\mathbb{C}^$

Published on 02 May 2018 - 13:28

score 28 · Answer 7 · 2018-05-02 18:08:00

28

Views

the number of group homomorphism

Published on 02 May 2018 - 18:08

score 51 · Answer 8 · 2026-03-24 23:51:35

51

Views

Proof check that the product of the periods of a generating set of a finite abelian group $G$ is $|G|$.

Published on 24 Mar 2026 - 23:51

score 52 · Answer 9 · 2018-05-07 15:17:40

52

Views

Homomorphisms from nonabelian simple groups into $\mathbb{C}^\times$

Published on 07 May 2018 - 15:17

score 1.3k · Answer 10 · 2018-05-07 16:50:02

1.3k

Views

Suppose there is homomorphism from finite group G onto $Z_{10}$ Then G has Normal Subgroup of index 5 and 2.

Published on 07 May 2018 - 16:50

score 90 · Answer 11 · 2018-05-07 19:35:24

90

Views

Find all endomorphisms between (Q,+) and (R,+).Which of them are automorphisms?

Published on 07 May 2018 - 19:35

score 48 · Answer 12 · 2026-03-25 01:17:42

48

Views

Partition of $\mathbb{Z}_8$ into cosets of Ker(θ)

Published on 25 Mar 2026 - 1:17

score 70 · Answer 13 · 2018-05-12 22:15:48

70

Views

What is the number of homomorphisms from $\mathbb{Z}_{10}\times \mathbb{Z}_{25}\to S_4$?

Published on 12 May 2018 - 22:15

score 68 · Answer 14 · 2018-05-16 10:24:08

68

Views

Is it possible that $H/\mathrm{img}(h) \cong I/\mathrm{img}(i)$ but the groups $H$ and $I$ are not isomorphic?

Published on 16 May 2018 - 10:24

score 114 · Answer 15 · 2018-05-17 16:37:05

114

Views

For all integers $m$ there exists a map $f: S^{1} \to S^{1}$ with degree $m$.

Published on 17 May 2018 - 16:37

List Question

$f \colon G_1 \to G_2$ group homomorphism, then $G_1 / N_1 \cong G_2 / N_2$

Find all primes $p$ such that $\phi(x)=x^{13}$ is a homomorphism $\Bbb Z/p\Bbb Z \rightarrow \Bbb Z/p\Bbb Z$.

Re: Find all primes $p$ such that $\phi(x)=x^{13}$ is a homomorphism $\Bbb Z/p\Bbb Z \rightarrow \Bbb Z/p\Bbb Z$.

Idempotent endomorphisms on $\mathbb{Z}\times \mathbb{Z}$

Why every automorphism of $S_3$ is inner Automorphism But This is not case with $S_6$?

Finding all group homomorphisms of $S_n\to\mathbb{C}^$ and $A_n\to\mathbb{C}^$

the number of group homomorphism

Proof check that the product of the periods of a generating set of a finite abelian group $G$ is $|G|$.

Homomorphisms from nonabelian simple groups into $\mathbb{C}^\times$

Suppose there is homomorphism from finite group G onto $Z_{10}$ Then G has Normal Subgroup of index 5 and 2.

Find all endomorphisms between (Q,+) and (R,+).Which of them are automorphisms?

Partition of $\mathbb{Z}_8$ into cosets of Ker(θ)

What is the number of homomorphisms from $\mathbb{Z}_{10}\times \mathbb{Z}_{25}\to S_4$?

Is it possible that $H/\mathrm{img}(h) \cong I/\mathrm{img}(i)$ but the groups $H$ and $I$ are not isomorphic?

For all integers $m$ there exists a map $f: S^{1} \to S^{1}$ with degree $m$.

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