Question

Uniqueness in Seifert-van Kampen theorem in Munkres' Topology

score 46 · Answer 1 · 2024-03-24 10:53:47

46

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Uniqueness in Seifert-van Kampen theorem in Munkres' Topology

Published on 24 Mar 2024 - 10:53

score 22 · Answer 2 · 2024-03-24 18:12:17

22

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Let $ψ:A\to B$ is a group homomorphism , then can i say ψ is injective iff kerψ={e1}

Published on 24 Mar 2024 - 18:12

score 43 · Answer 3 · 2026-03-30 02:10:10

43

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Seifert-van Kampen theorem, classical version

Published on 30 Mar 2026 - 2:10

score 1.1k · Answer 4 · 2015-01-04 08:29:42

1.1k

Views

Show that $\mathbb{Z}_9$ is not the homomorphic image of $\mathbb{Z}_3 \times \mathbb{Z}_3$.

Published on 04 Jan 2015 - 8:29

score 134 · Answer 5 · 2015-02-17 13:58:37

134

Views

Right cancellation of homomorphisms on groups implies

Published on 17 Feb 2015 - 13:58

score 1.6k · Answer 6 · 2026-03-28 10:35:23

1.6k

Views

Can I recover a group by its homomorphisms?

Published on 28 Mar 2026 - 10:35

score 769 · Answer 7 · 2015-02-23 16:16:07

769

Views

Prove: $G/(N_1 \cap N_2)$ is isomorphic with a subgroup of $(G/N_1) \times (G/N_2)$

Published on 23 Feb 2015 - 16:16

score 87 · Answer 8 · 2015-02-23 21:33:10

87

Views

Homomorphisms $h:C_5 \to Aut(C_{31})$ (first course in group theory)

Published on 23 Feb 2015 - 21:33

score 377 · Answer 9 · 2015-03-01 14:50:02

377

Views

If $N \trianglelefteq G$ then $(gN)^\alpha = g^\alpha N$ for $\alpha \in \mathbb{Z}$.

Published on 01 Mar 2015 - 14:50

score 95 · Answer 10 · 2015-03-06 21:00:29

95

Views

Property on homomorphism between finite groups

Published on 06 Mar 2015 - 21:00

score 93 · Answer 11 · 2015-03-12 11:41:18

93

Views

Let $H,K$ be finite groups , if for any finite group $G$ , $h(G,K)=h(G,H)$ holds , then is it true that $i(G,H)=i(G,K)$ for any finite group $G$ ?

Published on 12 Mar 2015 - 11:41

score 682 · Answer 12 · 2015-03-15 10:21:46

682

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Why restriction to $B(\alpha)$ is a homomorphism from $Gal(E/B)$ to a group with kernel $Gal(E/B(\alpha))$?

Published on 15 Mar 2015 - 10:21

score 92 · Answer 13 · 2026-03-27 07:48:16

92

Views

Simple homomorphism Question: Prove that $φ(s)$ is a reflection

Published on 27 Mar 2026 - 7:48

score 788 · Answer 14 · 2015-03-22 17:33:46

788

Views

Show any homomorphism from $\pi_1(S^1)$ to itself is an induced homomorphism of some $f:S^1\rightarrow S^1$

Published on 22 Mar 2015 - 17:33

score 273 · Answer 15 · 2015-03-23 18:05:43

273

Views

which of the following options are true?

Published on 23 Mar 2015 - 18:05

List Question

Uniqueness in Seifert-van Kampen theorem in Munkres' Topology

Let $ψ:A\to B$ is a group homomorphism , then can i say ψ is injective iff kerψ={e1}

Seifert-van Kampen theorem, classical version

Show that $\mathbb{Z}_9$ is not the homomorphic image of $\mathbb{Z}_3 \times \mathbb{Z}_3$.

Right cancellation of homomorphisms on groups implies

Can I recover a group by its homomorphisms?

Prove: $G/(N_1 \cap N_2)$ is isomorphic with a subgroup of $(G/N_1) \times (G/N_2)$

Homomorphisms $h:C_5 \to Aut(C_{31})$ (first course in group theory)

If $N \trianglelefteq G$ then $(gN)^\alpha = g^\alpha N$ for $\alpha \in \mathbb{Z}$.

Property on homomorphism between finite groups

Let $H,K$ be finite groups , if for any finite group $G$ , $h(G,K)=h(G,H)$ holds , then is it true that $i(G,H)=i(G,K)$ for any finite group $G$ ?

Why restriction to $B(\alpha)$ is a homomorphism from $Gal(E/B)$ to a group with kernel $Gal(E/B(\alpha))$?

Simple homomorphism Question: Prove that $φ(s)$ is a reflection

Show any homomorphism from $\pi_1(S^1)$ to itself is an induced homomorphism of some $f:S^1\rightarrow S^1$

which of the following options are true?

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