Question

A proof of Schur's lemma for a Lie algebra with at most countable dimension

score 483 · Answer 1 · 2026-03-25 06:04:21

483

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A proof of Schur's lemma for a Lie algebra with at most countable dimension

Published on 25 Mar 2026 - 6:04

score 41 · Answer 2 · 2026-03-23 08:41:55

41

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G-groups homomorphism regarding the subgroup fixed by G

Published on 23 Mar 2026 - 8:41

score 195 · Answer 3 · 2026-03-23 11:59:41

195

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Finding a group with a prescribed normal subgroup and quotient group

Published on 23 Mar 2026 - 11:59

score 374 · Answer 4 · 2018-02-26 17:49:36

374

Views

Prove 2 groups made up of rational numbers are isomorphic.

Published on 26 Feb 2018 - 17:49

score 53 · Answer 5 · 2018-03-01 15:30:48

53

Views

Proving several group homomorphisms and their injectivity or surjectivity

Published on 01 Mar 2018 - 15:30

score 159 · Answer 6 · 2018-03-01 18:24:04

159

Views

Proving that $(\mathbb{R},+) \cong (\mathbb{R}_{>1},\circ)$

Published on 01 Mar 2018 - 18:24

score 562 · Answer 7 · 2026-03-22 19:38:25

562

Views

Regular covering corresponding to a kernel

Published on 22 Mar 2026 - 19:38

score 46 · Answer 8 · 2018-03-08 06:47:16

46

Views

Bijective Function of Group

Published on 08 Mar 2018 - 6:47

score 73 · Answer 9 · 2018-03-10 15:17:00

73

Views

finding an injective homomorphism

Published on 10 Mar 2018 - 15:17

score 75 · Answer 10 · 2018-03-10 17:50:08

75

Views

What is the significance of this lemma on direct product?

Published on 10 Mar 2018 - 17:50

score 585 · Answer 11 · 2018-03-13 22:20:49

585

Views

If group homomorphisms preserve inverses, why aren't they just isomorphisms?

Published on 13 Mar 2018 - 22:20

score 78 · Answer 12 · 2018-03-14 17:25:27

Prove that $\phi : (\mathbb Z/25, +)\to (\mathbb Z/5, +)$ such that $\phi([k]) = [k].$ is a well-defined homomorphism.

score 122 · Answer 13 · 2018-03-14 23:28:23

122

Views

Prove that if $\phi: G\to H$ is a homomorphism and $G_{1}\leq G$ is cyclic, then $\phi (G_{1})$ is cyclic.

Published on 14 Mar 2018 - 23:28

score 382 · Answer 14 · 2026-03-25 04:43:51

382

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Prove that for homomorphism $\phi:G\to H$ if $G_{1}\leq G$ is abelian, then $\phi(G_{1})$ is abelian.

Published on 25 Mar 2026 - 4:43

score 837 · Answer 15 · 2018-03-15 19:20:43

837

Views

Show that for homomorphism $\phi:G\to H$, if $G_{1}$ is normal in $G$, then $\phi(G_{1})$ is normal in $H$.

Published on 15 Mar 2018 - 19:20

List Question

A proof of Schur's lemma for a Lie algebra with at most countable dimension

G-groups homomorphism regarding the subgroup fixed by G

Finding a group with a prescribed normal subgroup and quotient group

Prove 2 groups made up of rational numbers are isomorphic.

Proving several group homomorphisms and their injectivity or surjectivity

Proving that $(\mathbb{R},+) \cong (\mathbb{R}_{>1},\circ)$

Regular covering corresponding to a kernel

Bijective Function of Group

finding an injective homomorphism

What is the significance of this lemma on direct product?

If group homomorphisms preserve inverses, why aren't they just isomorphisms?

Prove that $\phi : (\mathbb Z/25, +)\to (\mathbb Z/5, +)$ such that $\phi([k]) = [k].$ is a well-defined homomorphism.

Prove that if $\phi: G\to H$ is a homomorphism and $G_{1}\leq G$ is cyclic, then $\phi (G_{1})$ is cyclic.

Prove that for homomorphism $\phi:G\to H$ if $G_{1}\leq G$ is abelian, then $\phi(G_{1})$ is abelian.

Show that for homomorphism $\phi:G\to H$, if $G_{1}$ is normal in $G$, then $\phi(G_{1})$ is normal in $H$.

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