Question

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

score 485 · Answer 1 · 2026-04-11 22:19:01

485

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

Published on 11 Apr 2026 - 22:19

score 49 · Answer 2 · 2026-04-29 12:44:08

49

Views

G-groups homomorphism regarding the subgroup fixed by G

Published on 29 Apr 2026 - 12:44

score 198 · Answer 3 · 2026-04-21 05:00:10

198

Views

Finding a group with a prescribed normal subgroup and quotient group

Published on 21 Apr 2026 - 5:00

score 377 · Answer 4 · 2026-04-11 19:10:56

377

Views

Prove 2 groups made up of rational numbers are isomorphic.

Published on 11 Apr 2026 - 19:10

score 56 · Answer 5 · 2026-04-13 17:29:32

56

Views

Proving several group homomorphisms and their injectivity or surjectivity

Published on 13 Apr 2026 - 17:29

score 162 · Answer 6 · 2026-04-15 02:54:22

162

Views

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

Published on 15 Apr 2026 - 2:54

score 570 · Answer 7 · 2026-05-07 11:26:57

570

Views

Regular covering corresponding to a kernel

Published on 07 May 2026 - 11:26

score 50 · Answer 8 · 2026-04-10 13:16:23

50

Views

Bijective Function of Group

Published on 10 Apr 2026 - 13:16

score 78 · Answer 9 · 2026-04-12 01:58:40

78

Views

finding an injective homomorphism

Published on 12 Apr 2026 - 1:58

score 78 · Answer 10 · 2026-04-11 09:10:12

78

Views

What is the significance of this lemma on direct product?

Published on 11 Apr 2026 - 9:10

score 588 · Answer 11 · 2026-04-13 08:59:22

588

Views

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

Published on 13 Apr 2026 - 8:59

score 81 · Answer 12 · 2026-04-14 18:14:30

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

score 126 · Answer 13 · 2026-05-10 13:51:25

126

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 10 May 2026 - 13:51

score 384 · Answer 14 · 2026-04-16 02:41:10

384

Views

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

Published on 16 Apr 2026 - 2:41

score 841 · Answer 15 · 2026-05-10 14:32:18

841

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 10 May 2026 - 14:32

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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