List questions from semidirect-product

Published on 30 May 2020 - 8:34

78

Views

If $G$ acts on $V$, how does $G^n\rtimes S_n$ act on $V^{\otimes n}$?

Published on 05 Jun 2020 - 9:25

148

Views

Isomorphism between $SO_2\tilde{\times}\mathbb{Z}_2$ and $O_2$

Published on 05 Jun 2020 - 10:30

1.1k

Views

Dihedral group as a semidirect product?

Published on 11 Jun 2020 - 8:06

58

Views

Proof of $_()∩=1$,$$ is a holomorph, $$ automorphism group

Published on 22 Mar 2026 - 13:55

714

Views

All non abelian groups of order $56$, when $\mathbb Z_7\triangleleft G$

Published on 13 Jun 2020 - 19:10

27

Views

Finding the relationship given by the generating elements of a non-abelian group (for a maximum case)

Published on 14 Jun 2020 - 8:54

175

Views

Split extension of finite group and Sylow subgroup by $p$-group

Published on 15 Jun 2020 - 7:33

57

Views

Quotient of $\mathbb R^n\rtimes O\left(n\right)$ by $\mathbb Z^n\rtimes D_8$

Published on 18 Jun 2020 - 12:11

50

Views

Structure of non abelian finite p-groups

Published on 25 Mar 2026 - 6:10

88

Views

$S_n \cong A_n \rtimes \{1,-1\} $

Published on 25 Jun 2020 - 11:50

387

Views

Automorphism group of elliptic curve in char 2

Published on 06 Jul 2020 - 15:30

93

Views

How many $3$-Sylow subgroups are there in $\mathbb{Z}_{7}\rtimes_{\rho}\mathbb{Z}_{6}$ with $|\ker\rho| = 2$?

Published on 07 Jul 2020 - 9:47

66

Views

Finding a 3-embedded subgroup.

Published on 07 Jul 2016 - 13:46

756

Views

Left vs right semi direct products

Published on 12 Jul 2016 - 3:29

List Question

Representing a group as a quotient of a free group

If $G$ acts on $V$, how does $G^n\rtimes S_n$ act on $V^{\otimes n}$?

Isomorphism between $SO_2\tilde{\times}\mathbb{Z}_2$ and $O_2$

Dihedral group as a semidirect product?

Proof of $_()∩=1$,$$ is a holomorph, $$ automorphism group

All non abelian groups of order $56$, when $\mathbb Z_7\triangleleft G$

Finding the relationship given by the generating elements of a non-abelian group (for a maximum case)

Split extension of finite group and Sylow subgroup by $p$-group

Quotient of $\mathbb R^n\rtimes O\left(n\right)$ by $\mathbb Z^n\rtimes D_8$

Structure of non abelian finite p-groups

$S_n \cong A_n \rtimes \{1,-1\} $

Automorphism group of elliptic curve in char 2

How many $3$-Sylow subgroups are there in $\mathbb{Z}_{7}\rtimes_{\rho}\mathbb{Z}_{6}$ with $|\ker\rho| = 2$?

Finding a 3-embedded subgroup.

Left vs right semi direct products

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