Question

The map $\left(\frac{.}{p}\right):=\mathbb F_p \rightarrow [\pm1]$ taking $a\in \mathbb F_p$ to $\left(\frac{a}{p}\right)$ is homomorphism

score 24 · Answer 1 · 2026-03-26 06:31:48

24

Views

The map $\left(\frac{.}{p}\right):=\mathbb F_p \rightarrow [\pm1]$ taking $a\in \mathbb F_p$ to $\left(\frac{a}{p}\right)$ is homomorphism

Published on 26 Mar 2026 - 6:31

score 822 · Answer 2 · 2015-12-18 11:24:51

822

Views

What is the no. of injective group homomorphisms from $\mathbb Z_m$ to $\mathbb Z_n$ ( when $m \le n$)?

Published on 18 Dec 2015 - 11:24

score 77 · Answer 3 · 2015-12-27 18:40:06

77

Views

Number of invariant factors of kernel

Published on 27 Dec 2015 - 18:40

score 125 · Answer 4 · 2026-03-27 17:40:36

125

Views

Cech Homology Differentials?

Published on 27 Mar 2026 - 17:40

score 1.7k · Answer 5 · 2026-03-27 21:59:28

1.7k

Views

The smallest symmetric group $S_m$ into which a given dihedral group $D_{2n}$ embeds

Published on 27 Mar 2026 - 21:59

score 2.8k · Answer 6 · 2016-01-11 23:18:18

2.8k

Views

The homomorphic image of an abelian group is abelian

Published on 11 Jan 2016 - 23:18

score 129 · Answer 7 · 2016-01-12 00:01:15

129

Views

Basic Problem on Direct Products

Published on 12 Jan 2016 - 0:01

score 67 · Answer 8 · 2016-01-15 00:24:00

67

Views

Are all group homorphisms of the reals also linear transformations?

Published on 15 Jan 2016 - 0:24

score 54 · Answer 9 · 2016-01-15 03:07:14

54

Views

number of homomorphism from $G$ to $G' \times G' \times \cdots \times G'$ ($k$ terms)

Published on 15 Jan 2016 - 3:07

score 415 · Answer 10 · 2026-03-30 15:30:54

415

Views

Inverse image of Sylow $p$-subgroup is Sylow $p$-subgroup

Published on 30 Mar 2026 - 15:30

score 93 · Answer 11 · 2026-03-30 01:15:17

93

Views

Show a homomorphism of local rings of two varieties

Published on 30 Mar 2026 - 1:15

score 401 · Answer 12 · 2016-01-17 11:33:42

401

Views

Number of ring homomorphisms from $\mathbb{Z}[X]/(X^2-X)$ to $\mathbb{Z}/6\mathbb{Z}$

Published on 17 Jan 2016 - 11:33

score 752 · Answer 13 · 2026-02-24 06:13:26

752

Views

What is the significance of “Homomorphism”?

Published on 24 Feb 2026 - 6:13

score 21 · Answer 14 · 2016-01-21 12:05:52

21

Views

Is $\prod^t_i S_{N_i} \wr D_{m_i}$ a normal subgroup of $S_{\sum^t_i N_i m_i}$?

Published on 21 Jan 2016 - 12:05

score 11 · Answer 15 · 2016-01-23 14:32:25

11

Views

Can there be a tower like $1 = A_0 \triangleleft \ldots \prod^t_i S_{N_i} \wr D_{m_i} \ldots \triangleleft = S_{\sum^t_i N_i m_i}$?

Published on 23 Jan 2016 - 14:32

List Question

The map $\left(\frac{.}{p}\right):=\mathbb F_p \rightarrow [\pm1]$ taking $a\in \mathbb F_p$ to $\left(\frac{a}{p}\right)$ is homomorphism

What is the no. of injective group homomorphisms from $\mathbb Z_m$ to $\mathbb Z_n$ ( when $m \le n$)?

Number of invariant factors of kernel

Cech Homology Differentials?

The smallest symmetric group $S_m$ into which a given dihedral group $D_{2n}$ embeds

The homomorphic image of an abelian group is abelian

Basic Problem on Direct Products

Are all group homorphisms of the reals also linear transformations?

number of homomorphism from $G$ to $G' \times G' \times \cdots \times G'$ ($k$ terms)

Inverse image of Sylow $p$-subgroup is Sylow $p$-subgroup

Show a homomorphism of local rings of two varieties

Number of ring homomorphisms from $\mathbb{Z}[X]/(X^2-X)$ to $\mathbb{Z}/6\mathbb{Z}$

What is the significance of “Homomorphism”?

Is $\prod^t_i S_{N_i} \wr D_{m_i}$ a normal subgroup of $S_{\sum^t_i N_i m_i}$?

Can there be a tower like $1 = A_0 \triangleleft \ldots \prod^t_i S_{N_i} \wr D_{m_i} \ldots \triangleleft = S_{\sum^t_i N_i m_i}$?

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