List questions from group-extensions

Published on 25 Mar 2026 - 4:40

552

Views

Abstract proof that $\lvert H^2(G,A)\rvert$ counts group extensions.

Published on 25 Mar 2026 - 6:01

150

Views

Abelianization of $\mathbb{Z}\ltimes_\varphi \mathbb{Z}^n$

Published on 25 Mar 2026 - 4:39

94

Views

A special case of group extensions, other then the semidrect product.

Published on 15 Apr 2026 - 12:55

44

Views

Is every non-simple finite group constructible from simple groups of lesser order by extensions?

Published on 25 Mar 2026 - 6:03

500

Views

Cocycles and group extensions

Published on 01 Apr 2026 - 6:38

116

Views

Splitting field of degree $p(p+1)$ contains a Galois subextension of degree $p$.

Published on 25 Mar 2026 - 4:44

102

Views

Proving associativity of addition with weird carry operation

Published on 25 Mar 2026 - 6:05

544

Views

Constructing group extensions in GAP.

Published on 01 Apr 2026 - 5:27

238

Views

Free normal subgroup of an HNN-extension

Published on 25 Mar 2026 - 7:48

85

Views

Does every $G$-by-$C_2$ extension split?

Published on 25 Mar 2026 - 6:08

321

Views

Central extensions of elementary abelian p-groups

Published on 12 Apr 2026 - 17:03

471

Views

Extensions of Abelian groups to non-Abelian groups

Published on 09 Apr 2026 - 12:23

78

Views

Is there a sort of "two-sided semidirect product"?

Published on 14 Apr 2026 - 2:35

136

Views

Two natural extensions of every algebra. Extension to subsets or functions.

Published on 14 Apr 2026 - 22:01

List Question

Are all finite groups extensions of other groups?

Abstract proof that $\lvert H^2(G,A)\rvert$ counts group extensions.

Abelianization of $\mathbb{Z}\ltimes_\varphi \mathbb{Z}^n$

A special case of group extensions, other then the semidrect product.

Is every non-simple finite group constructible from simple groups of lesser order by extensions?

Cocycles and group extensions

Splitting field of degree $p(p+1)$ contains a Galois subextension of degree $p$.

Proving associativity of addition with weird carry operation

Constructing group extensions in GAP.

Free normal subgroup of an HNN-extension

Does every $G$-by-$C_2$ extension split?

Central extensions of elementary abelian p-groups

Extensions of Abelian groups to non-Abelian groups

Is there a sort of "two-sided semidirect product"?

Two natural extensions of every algebra. Extension to subsets or functions.

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