Question

Proving the image of a group homomorphism is a subgroup of its codomain

score 10.6k · Answer 1 · 2019-04-06 08:47:59

10.6k

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Proving the image of a group homomorphism is a subgroup of its codomain

Published on 06 Apr 2019 - 8:47

score 277 · Answer 2 · 2019-04-08 21:54:08

277

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If $M$ is a maximal subgroup and $f$ a surjective homomorphism then $f(M) = H$

Published on 08 Apr 2019 - 21:54

score 30 · Answer 3 · 2019-04-10 20:54:17

30

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Help finding the Kernel of $\Psi (x_1,x_2,x_3)=(x_1+x_3,0,x_2+x_3)$

Published on 10 Apr 2019 - 20:54

score 45 · Answer 4 · 2019-04-10 23:10:42

45

Views

Help with what a homomorphism means in $\Phi: (\Bbb{Z}_{18},+_{18})\rightarrow(\Bbb{Z}_{12},+_{12})$

Published on 10 Apr 2019 - 23:10

score 394 · Answer 5 · 2019-04-13 09:30:58

394

Views

Confusion about a ring homomorphism theorem in textbook Analysis I by Amann/Escher

Published on 13 Apr 2019 - 9:30

score 51 · Answer 6 · 2026-03-25 19:05:30

51

Views

If $(m, n) = 1$, then $\dfrac{\mathbb Z \times \mathbb Z}{\langle (m,n)\rangle}\cong\mathbb Z$

Published on 25 Mar 2026 - 19:05

score 1.3k · Answer 7 · 2019-04-15 18:56:14

1.3k

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Are projection maps homomorphisms?

Published on 15 Apr 2019 - 18:56

score 144 · Answer 8 · 2019-04-17 10:33:48

144

Views

Is there any injective homomorphism (i.e. monomorphism) from a non-cyclic group of order $4$ to $\mathbb{Z}_8$?

Published on 17 Apr 2019 - 10:33

score 56 · Answer 9 · 2019-04-17 22:10:20

56

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Find the Kernel of $\Psi : (\Bbb{Z}_{30},+_{30})\rightarrow (\Bbb{Z}_{20},+_{20})$

Published on 17 Apr 2019 - 22:10

score 401 · Answer 10 · 2019-04-19 00:35:02

401

Views

Prove that there is a unique homomorphism

Published on 19 Apr 2019 - 0:35

score 178 · Answer 11 · 2019-04-20 19:42:43

178

Views

Homomorphism between Conjugacy classes and the Centralizer

Published on 20 Apr 2019 - 19:42

score 85 · Answer 12 · 2026-03-26 19:18:31

85

Views

The coset corresponding to permutation $(123)$ in $\Bbb Z /3\Bbb Z$.

Published on 26 Mar 2026 - 19:18

score 211 · Answer 13 · 2026-03-25 19:06:07

211

Views

Quotient group of dihedral group

Published on 25 Mar 2026 - 19:06

score 120 · Answer 14 · 2019-04-23 21:55:42

120

Views

Determine whether the statement is true: "If $g\in G$ has finite order $|g|=m$ then $f(g)$ has order $m$ in $H$."

Published on 23 Apr 2019 - 21:55

score 191 · Answer 15 · 2019-04-24 15:15:50

191

Views

The set of bilinear forms is a right $(R \otimes R)$-module

Published on 24 Apr 2019 - 15:15

List Question

Proving the image of a group homomorphism is a subgroup of its codomain

If $M$ is a maximal subgroup and $f$ a surjective homomorphism then $f(M) = H$

Help finding the Kernel of $\Psi (x_1,x_2,x_3)=(x_1+x_3,0,x_2+x_3)$

Help with what a homomorphism means in $\Phi: (\Bbb{Z}_{18},+_{18})\rightarrow(\Bbb{Z}_{12},+_{12})$

Confusion about a ring homomorphism theorem in textbook Analysis I by Amann/Escher

If $(m, n) = 1$, then $\dfrac{\mathbb Z \times \mathbb Z}{\langle (m,n)\rangle}\cong\mathbb Z$

Are projection maps homomorphisms?

Is there any injective homomorphism (i.e. monomorphism) from a non-cyclic group of order $4$ to $\mathbb{Z}_8$?

Find the Kernel of $\Psi : (\Bbb{Z}_{30},+_{30})\rightarrow (\Bbb{Z}_{20},+_{20})$

Prove that there is a unique homomorphism

Homomorphism between Conjugacy classes and the Centralizer

The coset corresponding to permutation $(123)$ in $\Bbb Z /3\Bbb Z$.

Quotient group of dihedral group

Determine whether the statement is true: "If $g\in G$ has finite order $|g|=m$ then $f(g)$ has order $m$ in $H$."

The set of bilinear forms is a right $(R \otimes R)$-module

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