List questions from group-extensions

Published on 13 Sep 2018 - 22:16

107

Views

Functoriality of Lyndon-Hochschild-Serre spectral sequences in coefficients.

Published on 14 Sep 2018 - 18:35

137

Views

The extension of a connected, simply-connected Lie group by $\mathbb{Z}$ is trivial.

Published on 19 Sep 2018 - 1:36

171

Views

On the central extension of a group

Published on 20 Sep 2018 - 15:01

135

Views

Isomorphic extensions of $\mathbb Z_3$ by $\mathbb Z_3 \times \mathbb Z_3$ which are not equivalent

Published on 12 Oct 2018 - 15:42

109

Views

Find isomorphic extensions of $\mathbb Z_3$ by $\mathbb Z_3 \times \mathbb Z_3$ which are not equivalent

Published on 12 Oct 2018 - 18:12

100

Views

Extension that split for all p-Sylow

Published on 05 Nov 2018 - 17:15

119

Views

Is there always a way to break a group?

Published on 12 Nov 2018 - 12:33

177

Views

Showing that any central group extension of a finite group $G$ by the trivial $G$-module $\mathbb Q$ is a semidirect product

Published on 27 Nov 2018 - 9:27

1.3k

Views

Equivalent Conditions of Split Extension of Groups

Published on 24 Feb 2019 - 14:12

115

Views

Extension of surface group by cyclic is residually finite

Published on 25 Mar 2026 - 1:16

45

Views

Automorphisms and Extensions of Cyclic Groups

Published on 17 Mar 2019 - 2:28

60

Views

Given $\Bbb ZQ$-module $K$, how to construct $\theta:Q\to\text{Aut}(K)$?

Published on 07 Apr 2019 - 7:24

122

Views

The relation between group extension and factor set

Published on 14 Apr 2019 - 13:18

234

Views

The number of groups $G$ (up to isomorphism) such that $G/\mathbb{Z}_3\cong D_{2n}$

Published on 23 Apr 2019 - 7:24

List Question

Cup Products and Group Extensions

Functoriality of Lyndon-Hochschild-Serre spectral sequences in coefficients.

The extension of a connected, simply-connected Lie group by $\mathbb{Z}$ is trivial.

On the central extension of a group

Isomorphic extensions of $\mathbb Z_3$ by $\mathbb Z_3 \times \mathbb Z_3$ which are not equivalent

Find isomorphic extensions of $\mathbb Z_3$ by $\mathbb Z_3 \times \mathbb Z_3$ which are not equivalent

Extension that split for all p-Sylow

Is there always a way to break a group?

Showing that any central group extension of a finite group $G$ by the trivial $G$-module $\mathbb Q$ is a semidirect product

Equivalent Conditions of Split Extension of Groups

Extension of surface group by cyclic is residually finite

Automorphisms and Extensions of Cyclic Groups

Given $\Bbb ZQ$-module $K$, how to construct $\theta:Q\to\text{Aut}(K)$?

The relation between group extension and factor set

The number of groups $G$ (up to isomorphism) such that $G/\mathbb{Z}_3\cong D_{2n}$

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