List questions from group-extensions

Published on 25 Mar 2026 - 11:00

105

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Extension of a group $G$ by a commutative group $F$

Published on 25 Mar 2026 - 11:06

43

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Proving this function is an isomorphism

Published on 25 Mar 2026 - 10:59

50

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Number of embeddings $F_q^n \rightarrow F_q^{n+m}$

Published on 25 Mar 2026 - 11:04

424

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Why are group extensions and split extensions defined the way they are?

Published on 25 Mar 2026 - 11:01

255

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Understanding group extensions

Published on 30 Apr 2026 - 14:15

63

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Calculate $H^{2}(\mathbb{Z}_{2} ; Z(T))$

Published on 25 Mar 2026 - 11:01

100

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Concise notation for the central extension defined by a cocycle

Published on 25 Mar 2026 - 10:59

126

Views

Isomorphism of $\mathbb{Z}\ltimes_A \mathbb{Z}^m$ and $\mathbb{Z}\ltimes_B \mathbb{Z}^m$

Published on 25 Mar 2026 - 11:06

123

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Center of a split metabelian group of order $p^nq$ is direct summand.

Published on 06 May 2026 - 5:29

115

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MacLane's Homology Book exercise doubt

Published on 25 Mar 2026 - 11:00

32

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Correct Way of Writing Extension of Group

Published on 11 Apr 2026 - 0:52

59

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Are there any references on extensions $G$ of a cyclic group $C_2$ by $2$-groups $P$?

Published on 25 Mar 2026 - 11:06

48

Views

Obstruction to extensions

Published on 10 Apr 2026 - 11:23

146

Views

Schur-Zassenhaus Theorem

Published on 11 Apr 2026 - 1:18

List Question

Constructing a group action from a group extension + a section

Extension of a group $G$ by a commutative group $F$

Proving this function is an isomorphism

Number of embeddings $F_q^n \rightarrow F_q^{n+m}$

Why are group extensions and split extensions defined the way they are?

Understanding group extensions

Calculate $H^{2}(\mathbb{Z}_{2} ; Z(T))$

Concise notation for the central extension defined by a cocycle

Isomorphism of $\mathbb{Z}\ltimes_A \mathbb{Z}^m$ and $\mathbb{Z}\ltimes_B \mathbb{Z}^m$

Center of a split metabelian group of order $p^nq$ is direct summand.

MacLane's Homology Book exercise doubt

Correct Way of Writing Extension of Group

Are there any references on extensions $G$ of a cyclic group $C_2$ by $2$-groups $P$?

Obstruction to extensions

Schur-Zassenhaus Theorem

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