Question

Intuition about the first isomorphism theorem

score 2.4k · Answer 1 · 2016-03-13 22:19:48

2.4k

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Intuition about the first isomorphism theorem

Published on 13 Mar 2016 - 22:19

score 76 · Answer 2 · 2016-03-14 01:07:21

76

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Dual Space $V^{} = {\{\phi^: V → \mathbb{K}}\}$ , $g \dot\ \phi^(v) = \phi^(g^{-1} \dot\ v)$

Published on 14 Mar 2016 - 1:07

score 56 · Answer 3 · 2016-03-16 02:30:52

56

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Show $\rho_1 \oplus \rho_2 : G → GL(V \oplus W)$ is a homomorphism

Published on 16 Mar 2016 - 2:30

score 39 · Answer 4 · 2016-03-16 18:35:23

39

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Pairs (m/n) , such that no non-trivial semidirect product of $\mathbb Z_m$ and $\mathbb Z_n$ exists

Published on 16 Mar 2016 - 18:35

score 508 · Answer 5 · 2016-03-16 19:40:33

508

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quotient groups of the complex numbers

Published on 16 Mar 2016 - 19:40

score 117 · Answer 6 · 2016-03-17 06:17:45

117

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Define the $Hom(V,W)$ by $\phi: V → W$ by $g\phi(v) = g\phi(g^{-1}v)$, show it's a homomorphism

Published on 17 Mar 2016 - 6:17

score 54 · Answer 7 · 2016-03-17 17:59:26

54

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Let $\theta: \Bbb C^∗ \to \Bbb R_+$ by $\theta (z)=|z|$

Published on 17 Mar 2016 - 17:59

score 161 · Answer 8 · 2016-03-19 11:39:26

161

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Find every homomorphism between groups $(\mathbb{Z}\times \mathbb{Z}, +,-,0)$ and $(\mathbb{Q}, +,-,0)$

Published on 19 Mar 2016 - 11:39

score 131 · Answer 9 · 2016-03-20 23:25:38

131

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If $G \to G'$ are isomorphic groups, then $|Aut(G)| = |$ all isomophisms $G \to G'|$.

Published on 20 Mar 2016 - 23:25

score 391 · Answer 10 · 2016-03-22 22:06:14

391

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Seifert van-Kampen Theorem problem, confused about induced homomorphisms

Published on 22 Mar 2016 - 22:06

score 1k · Answer 11 · 2016-03-23 14:40:35

1k

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Is the map from a group to its center a group homomorphism?

Published on 23 Mar 2016 - 14:40

score 953 · Answer 12 · 2026-03-27 23:31:57

953

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Fastest way to show that $D_6 \to S_5$ is an injective homomorphism

Published on 27 Mar 2026 - 23:31

score 1.5k · Answer 13 · 2016-03-25 20:46:56

1.5k

Views

Homomorphism Related Questions

Published on 25 Mar 2016 - 20:46

score 304 · Answer 14 · 2016-03-28 14:39:27

304

Views

Converse of first isomorphism theorem

Published on 28 Mar 2016 - 14:39

score 78 · Answer 15 · 2016-03-28 17:51:42

78

Views

how to prove homomorphism with identity element

Published on 28 Mar 2016 - 17:51

List Question

Intuition about the first isomorphism theorem

Dual Space $V^{} = {\{\phi^: V → \mathbb{K}}\}$ , $g \dot\ \phi^(v) = \phi^(g^{-1} \dot\ v)$

Show $\rho_1 \oplus \rho_2 : G → GL(V \oplus W)$ is a homomorphism

Pairs (m/n) , such that no non-trivial semidirect product of $\mathbb Z_m$ and $\mathbb Z_n$ exists

quotient groups of the complex numbers

Define the $Hom(V,W)$ by $\phi: V → W$ by $g\phi(v) = g\phi(g^{-1}v)$, show it's a homomorphism

Let $\theta: \Bbb C^∗ \to \Bbb R_+$ by $\theta (z)=|z|$

Find every homomorphism between groups $(\mathbb{Z}\times \mathbb{Z}, +,-,0)$ and $(\mathbb{Q}, +,-,0)$

If $G \to G'$ are isomorphic groups, then $|Aut(G)| = |$ all isomophisms $G \to G'|$.

Seifert van-Kampen Theorem problem, confused about induced homomorphisms

Is the map from a group to its center a group homomorphism?

Fastest way to show that $D_6 \to S_5$ is an injective homomorphism

Homomorphism Related Questions

Converse of first isomorphism theorem

how to prove homomorphism with identity element

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