Question

Algebra books which deal with semidirect products?

score 247 · Answer 1 · 2019-11-16 19:55:02

247

Views

Algebra books which deal with semidirect products?

Published on 16 Nov 2019 - 19:55

score 505 · Answer 2 · 2019-11-16 23:32:16

505

Views

Interpreting this problem from Dummit and Foote

Published on 16 Nov 2019 - 23:32

score 691 · Answer 3 · 2019-11-18 16:12:58

691

Views

When are semidirect products isomorphic?

Published on 18 Nov 2019 - 16:12

score 1k · Answer 4 · 2019-11-19 19:50:33

1k

Views

Irreducible representations of a semidirect product, proof in Serre

Published on 19 Nov 2019 - 19:50

score 97 · Answer 5 · 2019-11-22 14:58:04

97

Views

Semidirect product of conjugate homomorphisms

Published on 22 Nov 2019 - 14:58

score 216 · Answer 6 · 2026-03-25 17:26:58

216

Views

Show $\langle x,y|x^3=y^3=(xy)^3=1\rangle$ is isomophic to $A\rtimes\langle t\rangle$, where $t^3=1$ and $A=\langle a\rangle\times\langle b\rangle$.

Published on 25 Mar 2026 - 17:26

score 150 · Answer 7 · 2019-11-27 17:37:21

150

Views

Requested Hint For: If $\ker \varphi_1 \not \cong \ker \varphi_2$, then $H \rtimes_{\varphi_1} K \not \cong H \rtimes_{\varphi_2} K$

Published on 27 Nov 2019 - 17:37

score 71 · Answer 8 · 2019-12-01 13:23:00

71

Views

Equivalence of group representations if their restrictions are equivalent.

Published on 01 Dec 2019 - 13:23

score 116 · Answer 9 · 2019-12-12 07:14:03

116

Views

Showing Isomorphism between Semi direct product $C_7 \rtimes C_3$ and presentation G

Published on 12 Dec 2019 - 7:14

score 270 · Answer 10 · 2019-12-15 17:23:14

270

Views

Question on classification for group of order 20

Published on 15 Dec 2019 - 17:23

score 120 · Answer 11 · 2019-12-15 20:10:04

120

Views

Subgroups of $\text{SL}_2(p)$ isomorphic to $C_3 \rtimes C_4$

Published on 15 Dec 2019 - 20:10

score 141 · Answer 12 · 2019-12-16 18:17:29

141

Views

Second cohomology group of semidirect sum of semisimple Lie algebra $\mathfrak{g}$ and over finite $\mathfrak{g}$-module.

Published on 16 Dec 2019 - 18:17

score 55 · Answer 13 · 2019-12-28 19:50:55

55

Views

Showing that two elements generate $\mathbb Z[\frac13] \rtimes \mathbb Z$.

Published on 28 Dec 2019 - 19:50

score 92 · Answer 14 · 2020-01-07 20:13:06

92

Views

Existence of elements in $\text{Gal}(\mathbb{Q}(\sqrt[5]{2}, \xi)/\mathbb{Q})$ with $\xi = e^{\frac{2\pi i}{5}}$

Published on 07 Jan 2020 - 20:13

score 126 · Answer 15 · 2026-03-25 11:06:31

126

Views

Isomorphism of $\mathbb{Z}\ltimes_A \mathbb{Z}^m$ and $\mathbb{Z}\ltimes_B \mathbb{Z}^m$

Published on 25 Mar 2026 - 11:06

List Question

Algebra books which deal with semidirect products?

Interpreting this problem from Dummit and Foote

When are semidirect products isomorphic?

Irreducible representations of a semidirect product, proof in Serre

Semidirect product of conjugate homomorphisms

Show $\langle x,y|x^3=y^3=(xy)^3=1\rangle$ is isomophic to $A\rtimes\langle t\rangle$, where $t^3=1$ and $A=\langle a\rangle\times\langle b\rangle$.

Requested Hint For: If $\ker \varphi_1 \not \cong \ker \varphi_2$, then $H \rtimes_{\varphi_1} K \not \cong H \rtimes_{\varphi_2} K$

Equivalence of group representations if their restrictions are equivalent.

Showing Isomorphism between Semi direct product $C_7 \rtimes C_3$ and presentation G

Question on classification for group of order 20

Subgroups of $\text{SL}_2(p)$ isomorphic to $C_3 \rtimes C_4$

Second cohomology group of semidirect sum of semisimple Lie algebra $\mathfrak{g}$ and over finite $\mathfrak{g}$-module.

Showing that two elements generate $\mathbb Z[\frac13] \rtimes \mathbb Z$.

Existence of elements in $\text{Gal}(\mathbb{Q}(\sqrt[5]{2}, \xi)/\mathbb{Q})$ with $\xi = e^{\frac{2\pi i}{5}}$

Isomorphism of $\mathbb{Z}\ltimes_A \mathbb{Z}^m$ and $\mathbb{Z}\ltimes_B \mathbb{Z}^m$

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