Question

Semi-Direct product but not a direct products

score 131 · Answer 1 · 2019-10-22 16:34:12

131

Views

Semi-Direct product but not a direct products

Published on 22 Oct 2019 - 16:34

score 62 · Answer 2 · 2019-10-25 21:09:16

62

Views

What's the special name for $N \rtimes \textrm{Aut}(N)$?

Published on 25 Oct 2019 - 21:09

score 68 · Answer 3 · 2019-10-30 17:34:14

68

Views

Is the following action of a group on the character group of an Abelian group well-defined?

Published on 30 Oct 2019 - 17:34

score 71 · Answer 4 · 2019-10-31 23:49:07

71

Views

Prove there's only one nonabelian semidirect product $(C_2 \times C_2) \ltimes C_3$ up to isomorphism

Published on 31 Oct 2019 - 23:49

score 420 · Answer 5 · 2019-11-03 22:39:47

420

Views

Are the semidirect products of two finite cyclic groups all isomorphic?

Published on 03 Nov 2019 - 22:39

score 85 · Answer 6 · 2019-11-05 21:33:15

85

Views

Show that every group of order 1965 is isomorphic to $\mathbb{Z}/393\mathbb{Z} \rtimes \mathbb{Z}/5\mathbb{Z} $

Published on 05 Nov 2019 - 21:33

score 45 · Answer 7 · 2019-11-05 23:43:03

45

Views

Dеscribе а sеmidirеct prоduсt uр tо isоmоrphism

Published on 05 Nov 2019 - 23:43

score 67 · Answer 8 · 2019-11-06 09:33:17

67

Views

Automorphisms of semidirect product of groups with characteristic factor

Published on 06 Nov 2019 - 9:33

score 134 · Answer 9 · 2019-11-06 10:50:47

134

Views

Necessary and sufficient condition for semi-direct product of a group G with a normal subgroup N and some subgroup H

Published on 06 Nov 2019 - 10:50

score 64 · Answer 10 · 2026-03-25 11:03:12

64

Views

The induced semi-direct product of a morphism.

Published on 25 Mar 2026 - 11:03

score 148 · Answer 11 · 2019-11-10 07:28:47

148

Views

How to find a p-Sylow for symmetric group $S_{p^2}$？

Published on 10 Nov 2019 - 7:28

score 241 · Answer 12 · 2019-11-11 16:44:42

241

Views

Show that for two cyclic groups with order $3$ and $7$, any semi-direct product are isomorphic with each other.

Published on 11 Nov 2019 - 16:44

score 297 · Answer 13 · 2019-11-12 01:17:53

297

Views

How to prove $\mathbb Z_3\rtimes(\mathbb Z_2\mathbb \times\mathbb Z_2) \cong S_3\times\mathbb Z_2$?

Published on 12 Nov 2019 - 1:17

score 412 · Answer 14 · 2019-11-14 12:33:28

412

Views

Resulting semidirect products are the groups: $Z_8 \times Z_2, D_{16}$, the quasidihedral group $QD_{16}$ and the modular group $M$

Published on 14 Nov 2019 - 12:33

score 363 · Answer 15 · 2019-11-14 18:55:47

363

Views

Number of groups of order $31p^2$ (up to isomorphism)

Published on 14 Nov 2019 - 18:55

List Question

Semi-Direct product but not a direct products

What's the special name for $N \rtimes \textrm{Aut}(N)$?

Is the following action of a group on the character group of an Abelian group well-defined?

Prove there's only one nonabelian semidirect product $(C_2 \times C_2) \ltimes C_3$ up to isomorphism

Are the semidirect products of two finite cyclic groups all isomorphic?

Show that every group of order 1965 is isomorphic to $\mathbb{Z}/393\mathbb{Z} \rtimes \mathbb{Z}/5\mathbb{Z} $

Dеscribе а sеmidirеct prоduсt uр tо isоmоrphism

Automorphisms of semidirect product of groups with characteristic factor

Necessary and sufficient condition for semi-direct product of a group G with a normal subgroup N and some subgroup H

The induced semi-direct product of a morphism.

How to find a p-Sylow for symmetric group $S_{p^2}$？

Show that for two cyclic groups with order $3$ and $7$, any semi-direct product are isomorphic with each other.

How to prove $\mathbb Z_3\rtimes(\mathbb Z_2\mathbb \times\mathbb Z_2) \cong S_3\times\mathbb Z_2$?

Resulting semidirect products are the groups: $Z_8 \times Z_2, D_{16}$, the quasidihedral group $QD_{16}$ and the modular group $M$

Number of groups of order $31p^2$ (up to isomorphism)

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