List questions from group-extensions

Published on 25 Sep 2015 - 8:08

245

Views

How to describe all non-abelian extension groups of a given $\mathbb{Z}_n$ by $\mathbb{Z}_m$, where $n$ and $m$ are primes?

Published on 25 Feb 2026 - 20:49

57

Views

Existence of a Section in Group Extension

Published on 24 Oct 2015 - 18:30

224

Views

"Extension" of orthogonal group

Published on 09 Mar 2026 - 5:54

190

Views

Extension of $\mathbb Z_2$ by $SO(n)$

Published on 04 Mar 2026 - 18:34

554

Views

Determining if a (Lie algebra) central extension is trivial.

Published on 17 Mar 2026 - 17:45

473

Views

Bourbaki's definition of semidirect product

Published on 26 Feb 2026 - 12:36

1.2k

Views

Semidirect product: general automorphism always results in a conjugation

Published on 25 Mar 2026 - 20:07

906

Views

Nonsplit extension of $\mathbb{Z}$ by itself

Published on 13 Mar 2026 - 19:08

57

Views

What are some good matetials for learning about group extensions?

Published on 20 Mar 2026 - 0:39

70

Views

Where am I making a mistake with $Ext^1(A,C)$?

Published on 17 Jan 2016 - 22:35

84

Views

Intuition behind $Ext^1(A,\,C)$

Published on 25 Mar 2026 - 17:12

323

Views

Invariants of a finite abelian group written as a central extension of a cyclic group by a finite abelian group.

Published on 21 Jan 2016 - 10:55

347

Views

Extension of vector spaces and abelian groups

Published on 01 Feb 2016 - 17:02

128

Views

Why isn't $1 \to \mathbb{Z}_2 \to \mathbb{Z}_4 \to \mathbb{Z}_2 \to 1$ a split extension?

Published on 16 Mar 2016 - 2:25

List Question

Splitting of closed subgroup

How to describe all non-abelian extension groups of a given $\mathbb{Z}_n$ by $\mathbb{Z}_m$, where $n$ and $m$ are primes?

Existence of a Section in Group Extension

"Extension" of orthogonal group

Extension of $\mathbb Z_2$ by $SO(n)$

Determining if a (Lie algebra) central extension is trivial.

Bourbaki's definition of semidirect product

Semidirect product: general automorphism always results in a conjugation

Nonsplit extension of $\mathbb{Z}$ by itself

What are some good matetials for learning about group extensions?

Where am I making a mistake with $Ext^1(A,C)$?

Intuition behind $Ext^1(A,\,C)$

Invariants of a finite abelian group written as a central extension of a cyclic group by a finite abelian group.

Extension of vector spaces and abelian groups

Why isn't $1 \to \mathbb{Z}_2 \to \mathbb{Z}_4 \to \mathbb{Z}_2 \to 1$ a split extension?

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