Question

If $|G|=2^2\cdot 5 \cdot 19\Rightarrow n_5=n_{19}=1$

score 138 · Answer 1 · 2023-05-21 19:17:19

138

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If $|G|=2^2\cdot 5 \cdot 19\Rightarrow n_5=n_{19}=1$

Published on 21 May 2023 - 19:17

score 34 · Answer 2 · 2023-05-25 18:56:50

34

Views

Showing that $GL(2,p) = SL(2,p) \rtimes H$

Published on 25 May 2023 - 18:56

score 152 · Answer 3 · 2023-05-26 22:20:24

152

Views

Proving that there exists a non-trivial semidirect product $\mathbb{Z}/41\mathbb{Z} \rtimes \mathbb{Z}/20\mathbb{Z} $

Published on 26 May 2023 - 22:20

score 14 · Answer 4 · 2026-03-26 19:48:18

14

Views

Complements in wreath product

Published on 26 Mar 2026 - 19:48

score 58 · Answer 5 · 2026-03-25 09:26:18

58

Views

Consider the group $\mathbb{Z}_2 \wr \mathbb{Z}$, what is $\mathbb{Z}_2 \wr 2 \mathbb{Z}$?

Published on 25 Mar 2026 - 9:26

score 141 · Answer 6 · 2023-06-04 12:55:26

141

Views

What am I missing here? Trying to learn the semidirect product

Published on 04 Jun 2023 - 12:55

score 115 · Answer 7 · 2026-03-25 17:39:21

115

Views

Non-Abelian group of exponent $3$ and Nilpotent class $2$ .

Published on 25 Mar 2026 - 17:39

score 53 · Answer 8 · 2023-06-15 13:47:35

53

Views

Another identity implied by the Jacobi identity for semidirect product of Lie algebra

Published on 15 Jun 2023 - 13:47

score 113 · Answer 9 · 2023-06-16 10:19:40

113

Views

Quadratic extension with Galois group semidirect product

Published on 16 Jun 2023 - 10:19

score 115 · Answer 10 · 2023-06-22 08:22:10

115

Views

The semidirect product of $\Bbb R^*$ and $\Bbb R$ is isomorphic to the group of upper-triangular real 2-by-2 matrices with determinant 1.

Published on 22 Jun 2023 - 8:22

score 81 · Answer 11 · 2026-03-25 19:04:18

81

Views

Associativity of a semidirect product

Published on 25 Mar 2026 - 19:04

score 44 · Answer 12 · 2023-07-13 07:53:20

44

Views

what will be the exponential map from the Lie algebra $sl(2, C) \ltimes_{ad} sl(2,C)$ to its Lie group $Sl(2, C) \ltimes_{Ad} Sl(2,C)$.

Published on 13 Jul 2023 - 7:53

score 56 · Answer 13 · 2023-07-24 00:17:24

56

Views

Semidirect Products of $A_n$ and $\mathbb{Z}/2$ up to isomorphism

Published on 24 Jul 2023 - 0:17

score 81 · Answer 14 · 2023-07-24 18:42:25

81

Views

Size of $p$-subgroups of $\operatorname{Aut}(G)$, where $p$ divides the order of $G$

Published on 24 Jul 2023 - 18:42

score 122 · Answer 15 · 2023-07-24 21:39:11

122

Views

Abelian subgroups of the group of automorphisms of a finite group

Published on 24 Jul 2023 - 21:39

List Question

If $|G|=2^2\cdot 5 \cdot 19\Rightarrow n_5=n_{19}=1$

Showing that $GL(2,p) = SL(2,p) \rtimes H$

Proving that there exists a non-trivial semidirect product $\mathbb{Z}/41\mathbb{Z} \rtimes \mathbb{Z}/20\mathbb{Z} $

Complements in wreath product

Consider the group $\mathbb{Z}_2 \wr \mathbb{Z}$, what is $\mathbb{Z}_2 \wr 2 \mathbb{Z}$?

What am I missing here? Trying to learn the semidirect product

Non-Abelian group of exponent $3$ and Nilpotent class $2$ .

Another identity implied by the Jacobi identity for semidirect product of Lie algebra

Quadratic extension with Galois group semidirect product

The semidirect product of $\Bbb R^*$ and $\Bbb R$ is isomorphic to the group of upper-triangular real 2-by-2 matrices with determinant 1.

Associativity of a semidirect product

what will be the exponential map from the Lie algebra $sl(2, C) \ltimes_{ad} sl(2,C)$ to its Lie group $Sl(2, C) \ltimes_{Ad} Sl(2,C)$.

Semidirect Products of $A_n$ and $\mathbb{Z}/2$ up to isomorphism

Size of $p$-subgroups of $\operatorname{Aut}(G)$, where $p$ divides the order of $G$

Abelian subgroups of the group of automorphisms of a finite group

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