Question

Group actions producing an automorphism of a group formed from a power-set to itself and symmetric difference

score 46 · Answer 1 · 2015-10-27 18:40:37

46

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Group actions producing an automorphism of a group formed from a power-set to itself and symmetric difference

Published on 27 Oct 2015 - 18:40

score 1.8k · Answer 2 · 2026-03-23 20:55:52

1.8k

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Why does a group homomorphism preserve more structure than a monoid homomorphism while satisfying fewer equations

Published on 23 Mar 2026 - 20:55

score 2.7k · Answer 3 · 2015-10-27 21:04:07

2.7k

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Why is it important that the evaluation map is a homomorphism?

Published on 27 Oct 2015 - 21:04

score 259 · Answer 4 · 2026-03-30 14:50:41

259

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$g^nH=H$ if $H$ is a nomal subgroup of index $n$

Published on 30 Mar 2026 - 14:50

score 2.5k · Answer 5 · 2015-10-30 07:52:17

2.5k

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If $N$ and $M$ are normal subgroups of $G$, show that $NM/M$ is isomorphic to $N/N \cap M$.

Published on 30 Oct 2015 - 7:52

score 2.3k · Answer 6 · 2015-10-31 13:16:11

2.3k

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Module Isomorphism from Z4 to Z2+Z2

Published on 31 Oct 2015 - 13:16

score 178 · Answer 7 · 2015-10-31 16:17:45

178

Views

What is the group of isometries of the plane preserving this frieze?

Published on 31 Oct 2015 - 16:17

score 2.7k · Answer 8 · 2015-11-01 00:25:10

2.7k

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Give an example of a nontrivial homomorphism for $\phi$ for the given group, or if no such homomorphism exists, explain why.

Published on 01 Nov 2015 - 0:25

score 3.2k · Answer 9 · 2015-11-02 01:39:39

3.2k

Views

Determine whether or not φ is a homomorphism:

Published on 02 Nov 2015 - 1:39

score 2k · Answer 10 · 2015-11-02 11:58:03

2k

Views

How can you tell whether two groups are homomorphic/isomorphic?

Published on 02 Nov 2015 - 11:58

score 500 · Answer 11 · 2015-11-02 21:02:20

500

Views

Rank of the Homomorphic image of a finitely generated abelian group

Published on 02 Nov 2015 - 21:02

score 3.7k · Answer 12 · 2015-11-03 04:36:10

3.7k

Views

The preimage of a normal subgroup under a group homomorphism is normal

Published on 03 Nov 2015 - 4:36

score 101 · Answer 13 · 2015-11-03 08:51:14

101

Views

$H = \{a^2 | a \in G\}$ is a subgroup of $G$

Published on 03 Nov 2015 - 8:51

score 838 · Answer 14 · 2015-11-05 02:08:26

838

Views

Determine if $\phi (g)=g^{-1}$ is a homomorphism.

Published on 05 Nov 2015 - 2:08

score 338 · Answer 15 · 2015-11-05 04:34:59

338

Views

The kernel of what morphism is the commutator?

Published on 05 Nov 2015 - 4:34

List Question

Group actions producing an automorphism of a group formed from a power-set to itself and symmetric difference

Why does a group homomorphism preserve more structure than a monoid homomorphism while satisfying fewer equations

Why is it important that the evaluation map is a homomorphism?

$g^nH=H$ if $H$ is a nomal subgroup of index $n$

If $N$ and $M$ are normal subgroups of $G$, show that $NM/M$ is isomorphic to $N/N \cap M$.

Module Isomorphism from Z4 to Z2+Z2

What is the group of isometries of the plane preserving this frieze?

Give an example of a nontrivial homomorphism for $\phi$ for the given group, or if no such homomorphism exists, explain why.

Determine whether or not φ is a homomorphism:

How can you tell whether two groups are homomorphic/isomorphic?

Rank of the Homomorphic image of a finitely generated abelian group

The preimage of a normal subgroup under a group homomorphism is normal

$H = \{a^2 | a \in G\}$ is a subgroup of $G$

Determine if $\phi (g)=g^{-1}$ is a homomorphism.

The kernel of what morphism is the commutator?

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