Question

What is the map $\xi$ over $E/F_q : y^2 = x^3 + b$

score 31 · Answer 1 · 2022-02-04 02:14:04

31

Views

What is the map $\xi$ over $E/F_q : y^2 = x^3 + b$

Published on 04 Feb 2022 - 2:14

score 43 · Answer 2 · 2022-02-05 03:02:58

43

Views

Ker$\phi$ is isomorphic to and not isomorphic to?

Published on 05 Feb 2022 - 3:02

score 536 · Answer 3 · 2022-02-05 08:35:14

536

Views

Is the kernel of a group homomorphism unique?

Published on 05 Feb 2022 - 8:35

score 73 · Answer 4 · 2022-02-06 14:32:32

73

Views

Proof that $\phi (m) = m \pmod{n}$ is a homomorphism from $ \mathbb Z$ to $ \mathbb Z_n$

Published on 06 Feb 2022 - 14:32

score 88 · Answer 5 · 2022-02-08 03:17:16

88

Views

Is $f_a(x) = ax$ for $a \in \mathbb{Z}_n$ a homomorphism?

Published on 08 Feb 2022 - 3:17

score 433 · Answer 6 · 2026-02-23 08:25:57

433

Views

Explanation of Frobenius endomorphism on elliptic curves

Published on 23 Feb 2026 - 8:25

score 35 · Answer 7 · 2022-02-14 20:54:13

35

Views

Can both $f(P) = Q$ and $f(P_{\mathrm{sub}}) = Q$ hold when $f$ is a surjective group homomorphism?

Published on 14 Feb 2022 - 20:54

score 198 · Answer 8 · 2022-02-16 21:39:37

198

Views

Can we make sure two groups are isomorphic if there exists a function which is a bijective homomorphism?

Published on 16 Feb 2022 - 21:39

score 124 · Answer 9 · 2026-03-28 13:28:06

124

Views

The sufficient way to show a homomorphism is well-defined.

Published on 28 Mar 2026 - 13:28

score 82 · Answer 10 · 2022-02-18 17:29:10

82

Views

What is the kernel of $\phi:G \to S_Y$?

Published on 18 Feb 2022 - 17:29

score 433 · Answer 11 · 2022-02-20 02:14:04

433

Views

Let $G$ be an abelian group, K a group and $f : G\rightarrow K $ a group homomorphism. Prove that $f (G)\subseteq K$ is an abelian subgroup of $K$.

Published on 20 Feb 2022 - 2:14

score 63 · Answer 12 · 2022-02-20 11:44:32

63

Views

Suppose $g:G\to (G',\cdot)$ is a mapping such that $g(xy)=g(y)\cdot g(x)$ holds for all $x,y\in G$. Can we call $g:G\to (G',\cdot)$ a homomorphism?

Published on 20 Feb 2022 - 11:44

score 97 · Answer 13 · 2022-02-23 23:36:40

97

Views

Does there exist homomorphism $\phi:\Bbb Z_{24}\to\Bbb Z_{24}$ such that $\phi(14)=15$?

Published on 23 Feb 2022 - 23:36

score 67 · Answer 14 · 2022-02-24 04:06:20

67

Views

Composition of representation with monomorphism is irreducible $\implies$ representation is irreducible

Published on 24 Feb 2022 - 4:06

score 55 · Answer 15 · 2022-02-27 17:38:40

55

Views

Showing Groups of Homomorphisms are Isomorphic

Published on 27 Feb 2022 - 17:38

List Question

What is the map $\xi$ over $E/F_q : y^2 = x^3 + b$

Ker$\phi$ is isomorphic to and not isomorphic to?

Is the kernel of a group homomorphism unique?

Proof that $\phi (m) = m \pmod{n}$ is a homomorphism from $ \mathbb Z$ to $ \mathbb Z_n$

Is $f_a(x) = ax$ for $a \in \mathbb{Z}_n$ a homomorphism?

Explanation of Frobenius endomorphism on elliptic curves

Can both $f(P) = Q$ and $f(P_{\mathrm{sub}}) = Q$ hold when $f$ is a surjective group homomorphism?

Can we make sure two groups are isomorphic if there exists a function which is a bijective homomorphism?

The sufficient way to show a homomorphism is well-defined.

What is the kernel of $\phi:G \to S_Y$?

Let $G$ be an abelian group, K a group and $f : G\rightarrow K $ a group homomorphism. Prove that $f (G)\subseteq K$ is an abelian subgroup of $K$.

Suppose $g:G\to (G',\cdot)$ is a mapping such that $g(xy)=g(y)\cdot g(x)$ holds for all $x,y\in G$. Can we call $g:G\to (G',\cdot)$ a homomorphism?

Does there exist homomorphism $\phi:\Bbb Z_{24}\to\Bbb Z_{24}$ such that $\phi(14)=15$?

Composition of representation with monomorphism is irreducible $\implies$ representation is irreducible

Showing Groups of Homomorphisms are Isomorphic

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