List questions from semidirect-product

Published on 27 Mar 2026 - 22:18

164

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Structure of the automorphism group of a group

Published on 26 Mar 2026 - 8:03

142

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Derivations of a semidirect product of Lie algebras

Published on 09 Aug 2020 - 19:15

244

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The proof of $S_n \cong A_n \rtimes \{e, (12) \}$

Published on 11 Aug 2020 - 17:03

140

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Deciding if $\mathbb{Z}\ltimes_A \mathbb{Z}^5$ and $\mathbb{Z}\ltimes_B \mathbb{Z}^5$ are isomorphic or not

Published on 13 Aug 2020 - 2:05

182

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Non-trivial semidirect product $(\mathbb Z_2 \oplus \mathbb Z_2 \oplus\mathbb Z_2) \rtimes_\varphi \mathbb Z_3 \cong A_4 \oplus \mathbb Z_2$

Published on 14 Aug 2020 - 10:18

92

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Classifying nonabelian groups of order 12: How to show uniqueness of semidirect products.

Published on 16 Aug 2020 - 21:14

165

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Semidirect group and metacyclic group

Published on 17 Aug 2020 - 15:27

171

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one-relator groups which are free-by-cyclic

Published on 27 Mar 2026 - 2:06

58

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Underlying vector space for the Lie algebra of $U(n)$ and for $C_2 \ltimes U(n)$.

Published on 27 Aug 2020 - 10:07

87

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semidirect product in GAP

Published on 29 Mar 2026 - 9:18

249

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Presentation for a minimal nonabelian groups of order $pq^\alpha$

Published on 28 Mar 2026 - 15:35

64

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Does the semidirect product $(H⋊K)$ is the smallest group contained the groups $H$ and $K$?

Published on 15 Sep 2020 - 6:24

35

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Code for commands in GAP

Published on 26 Mar 2026 - 12:42

119

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$S_4$ Isomorphism

Published on 24 Sep 2020 - 1:47

List Question

Semidirect product of $Z_2$ with itself

Structure of the automorphism group of a group

Derivations of a semidirect product of Lie algebras

The proof of $S_n \cong A_n \rtimes \{e, (12) \}$

Deciding if $\mathbb{Z}\ltimes_A \mathbb{Z}^5$ and $\mathbb{Z}\ltimes_B \mathbb{Z}^5$ are isomorphic or not

Non-trivial semidirect product $(\mathbb Z_2 \oplus \mathbb Z_2 \oplus\mathbb Z_2) \rtimes_\varphi \mathbb Z_3 \cong A_4 \oplus \mathbb Z_2$

Classifying nonabelian groups of order 12: How to show uniqueness of semidirect products.

Semidirect group and metacyclic group

one-relator groups which are free-by-cyclic

Underlying vector space for the Lie algebra of $U(n)$ and for $C_2 \ltimes U(n)$.

semidirect product in GAP

Presentation for a minimal nonabelian groups of order $pq^\alpha$

Does the semidirect product $(H⋊K)$ is the smallest group contained the groups $H$ and $K$?

Code for commands in GAP

$S_4$ Isomorphism

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