List questions from group-extensions

43

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What is the smallest split-simple non-simple group other than generalized quaternion groups and cyclic groups?

Published on 11 Oct 2023 - 4:34

153

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Non-abelian extensions of the Klein four-group $K_4$ by $\mathbb{Z}_2$

Published on 12 Oct 2023 - 2:06

86

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Understanding the construction of group extension

Published on 21 Oct 2023 - 10:04

116

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Understanding the construction of the split extension of group

Published on 21 Oct 2023 - 11:17

94

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Central extension of a Lie group by the circle group $\mathbb{T}$

Published on 27 Oct 2023 - 4:55

68

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Is a central extension of a torus by a torus a torus?

Published on 29 Oct 2023 - 13:04

37

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Classifying central extensions of perfect groups

Published on 25 Mar 2026 - 4:37

43

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$\text{GL }_2(\mathbb{Z})$ as an HNN extension

Published on 04 Nov 2023 - 19:13

16

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Central Extensions of the Quaternions

Published on 09 Mar 2026 - 17:52

108

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Extensions of simple Lie groups with a topological splitting

Published on 25 Nov 2023 - 14:06

65

Views

Finite image property under extensions

Published on 04 Dec 2023 - 16:57

54

Views

Difference between the concepts of extension A by B and essential extension for modules?

Published on 05 Jan 2024 - 17:01

63

Views

Help with Exercise 6.9.2 in Weibels "An introduction to Homological Algebra

Published on 27 Jan 2024 - 16:40

56

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Fibration coming from a group extension

Published on 25 Mar 2026 - 17:36

120

Views

Equivalent Definition of Solvable Groups in Serre’s Book

Published on 02 Mar 2024 - 14:26

List Question

What is the smallest split-simple non-simple group other than generalized quaternion groups and cyclic groups?

Non-abelian extensions of the Klein four-group $K_4$ by $\mathbb{Z}_2$

Understanding the construction of group extension

Understanding the construction of the split extension of group

Central extension of a Lie group by the circle group $\mathbb{T}$

Is a central extension of a torus by a torus a torus?

Classifying central extensions of perfect groups

$\text{GL }_2(\mathbb{Z})$ as an HNN extension

Central Extensions of the Quaternions

Extensions of simple Lie groups with a topological splitting

Finite image property under extensions

Difference between the concepts of extension A by B and essential extension for modules?

Help with Exercise 6.9.2 in Weibels "An introduction to Homological Algebra

Fibration coming from a group extension

Equivalent Definition of Solvable Groups in Serre’s Book

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