Question

How to compute $\operatorname{Ker}(\phi )$ and $(\phi )(25)$ for $(\phi ):Z\rightarrow Z_{7}$ such that $\phi(1)=4$?

score 578 · Answer 1 · 2018-10-14 07:54:39

578

Views

How to compute $\operatorname{Ker}(\phi )$ and $(\phi )(25)$ for $(\phi ):Z\rightarrow Z_{7}$ such that $\phi(1)=4$?

Published on 14 Oct 2018 - 7:54

score 67 · Answer 2 · 2018-10-16 03:17:31

67

Views

Prove that $\varphi\big(C_G(x)\big) =C_H\big(\varphi(x)\big)$, where $\varphi:G\to H$ is a group homomorphism with certain properties.

Published on 16 Oct 2018 - 3:17

score 1.7k · Answer 3 · 2018-10-19 01:25:17

1.7k

Views

How to determine if a surjective homomorphism exists between two groups?

Published on 19 Oct 2018 - 1:25

score 568 · Answer 4 · 2018-10-19 02:41:06

568

Views

If $\phi$ and $\psi$ are homomorphisms between groups $G$ and $H$ with $\phi \psi = Id_{H}$, then $G \approx H \oplus \ker \psi$

Published on 19 Oct 2018 - 2:41

score 43 · Answer 5 · 2018-10-19 05:33:27

43

Views

Question about Quotient of Product of Subgroups

Published on 19 Oct 2018 - 5:33

score 193 · Answer 6 · 2018-10-20 19:00:31

193

Views

Number of homomorphism from $Q_8/\Bbb{Z}(Q_8)$ to $D_4/\Bbb{Z}(D_4).$

Published on 20 Oct 2018 - 19:00

score 919 · Answer 7 · 2018-10-20 21:09:42

919

Views

Determine all homomorphisms from $D_{5}$ onto $Z_{2} \bigoplus Z_{2}$. Determine all homomorphisms from $D_{5}$ to $Z_{2} \bigoplus Z_{2}$.

Published on 20 Oct 2018 - 21:09

score 417 · Answer 8 · 2018-10-26 03:14:28

417

Views

Count the number of group homomorphisms from a group of order 24 to a group of order 25.

Published on 26 Oct 2018 - 3:14

score 751 · Answer 9 · 2018-10-26 16:43:26

751

Views

How to find homomorphism of direct product?

Published on 26 Oct 2018 - 16:43

score 116 · Answer 10 · 2026-03-25 11:13:48

116

Views

Finitely presented groups which are neither Hopfian nor cohopfian

Published on 25 Mar 2026 - 11:13

score 41 · Answer 11 · 2018-11-04 05:45:18

41

Views

Homomorphisms: What am I missing here?

Published on 04 Nov 2018 - 5:45

score 61 · Answer 12 · 2026-03-25 20:15:50

61

Views

$\mathbb{Z}\leq G \leq \mathbb{Q}$ and $\varphi:G\rightarrow H$ a map which behaves nicely on fractions.

Published on 25 Mar 2026 - 20:15

score 18 · Answer 13 · 2018-11-05 13:54:54

18

Views

Homomorphism from $(GL(3, \mathbb{R}), .)$ to $(\mathbb{R}_{>0}, .)$ such that $\Phi(2I_3)=8$

Published on 05 Nov 2018 - 13:54

score 250 · Answer 14 · 2018-11-06 19:16:03

250

Views

How to solve the problem from Topics In Algebra Herstein?

Published on 06 Nov 2018 - 19:16

score 327 · Answer 15 · 2018-11-09 00:34:36

327

Views

Show the only homomorphism $F:\Bbb Q\rightarrow \Bbb Q\setminus\{0\}$ is the trivial map

Published on 09 Nov 2018 - 0:34

List Question

How to compute $\operatorname{Ker}(\phi )$ and $(\phi )(25)$ for $(\phi ):Z\rightarrow Z_{7}$ such that $\phi(1)=4$?

Prove that $\varphi\big(C_G(x)\big) =C_H\big(\varphi(x)\big)$, where $\varphi:G\to H$ is a group homomorphism with certain properties.

How to determine if a surjective homomorphism exists between two groups?

If $\phi$ and $\psi$ are homomorphisms between groups $G$ and $H$ with $\phi \psi = Id_{H}$, then $G \approx H \oplus \ker \psi$

Question about Quotient of Product of Subgroups

Number of homomorphism from $Q_8/\Bbb{Z}(Q_8)$ to $D_4/\Bbb{Z}(D_4).$

Determine all homomorphisms from $D_{5}$ onto $Z_{2} \bigoplus Z_{2}$. Determine all homomorphisms from $D_{5}$ to $Z_{2} \bigoplus Z_{2}$.

Count the number of group homomorphisms from a group of order 24 to a group of order 25.

How to find homomorphism of direct product?

Finitely presented groups which are neither Hopfian nor cohopfian

Homomorphisms: What am I missing here?

$\mathbb{Z}\leq G \leq \mathbb{Q}$ and $\varphi:G\rightarrow H$ a map which behaves nicely on fractions.

Homomorphism from $(GL(3, \mathbb{R}), .)$ to $(\mathbb{R}_{>0}, .)$ such that $\Phi(2I_3)=8$

How to solve the problem from Topics In Algebra Herstein?

Show the only homomorphism $F:\Bbb Q\rightarrow \Bbb Q\setminus\{0\}$ is the trivial map

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