List questions from group-extensions

Published on 10 Aug 2014 - 4:54

170

Views

Another description for the map $\text{Ext}^1_\mathbb{Z}(A,G)\to H^2(G,A)$

Published on 20 Aug 2014 - 1:33

82

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Is the embedding problem with a cyclic kernel always solvable?

Published on 17 Sep 2014 - 5:20

1.5k

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Lie Group Decomposition as Semidirect Product of Connected and Discrete Groups

Published on 22 Sep 2014 - 3:42

623

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Splitting in Short exact sequence

Published on 13 Oct 2014 - 2:48

281

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Group Extension Example

Published on 13 Oct 2014 - 6:27

1.5k

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Factor sets and group extensions (Homological algebra- Hilton and Stammbach VI.10.1)

Published on 22 Nov 2014 - 11:28

1.5k

Views

Extensions of $\mathbb{Z}$ by $\mathbb{Z}_2$

Published on 27 Nov 2014 - 0:17

52

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General formula for group extensions by an Abelian group

Published on 03 Oct 2019 - 6:47

91

Views

Isomorphism between free abelian groups that fit into a short exact sequence

Published on 03 Oct 2019 - 15:40

82

Views

splitting of a central extension

Published on 05 Oct 2019 - 8:26

85

Views

Torsion of simple abelian group extension

Published on 12 Oct 2019 - 18:25

142

Views

Generalization of Symmetric Group: $S_n$ to ${\bf S'}_n$

Published on 19 Oct 2019 - 16:19

66

Views

Galois Groups vs $\mathbb{Q}(\alpha_i)$

Published on 21 Nov 2019 - 17:47

102

Views

A morphism between two extension of a group $G$ by a group $F$ is an isomorphism. (Not sure if the terminology is standard.)

Published on 01 Dec 2019 - 18:05

List Question

How can I find $\mathbb Z_4$ as an extension of $\mathbb Z_2$ by $\mathbb Z_2$?

Another description for the map $\text{Ext}^1_\mathbb{Z}(A,G)\to H^2(G,A)$

Is the embedding problem with a cyclic kernel always solvable?

Lie Group Decomposition as Semidirect Product of Connected and Discrete Groups

Splitting in Short exact sequence

Group Extension Example

Factor sets and group extensions (Homological algebra- Hilton and Stammbach VI.10.1)

Extensions of $\mathbb{Z}$ by $\mathbb{Z}_2$

General formula for group extensions by an Abelian group

Isomorphism between free abelian groups that fit into a short exact sequence

splitting of a central extension

Torsion of simple abelian group extension

Generalization of Symmetric Group: $S_n$ to ${\bf S'}_n$

Galois Groups vs $\mathbb{Q}(\alpha_i)$

A morphism between two extension of a group $G$ by a group $F$ is an isomorphism. (Not sure if the terminology is standard.)

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