Question

Semi-direct product in Tao's proof of Gromov's theorem

score 68 · Answer 1 · 2026-03-29 19:17:26

68

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Semi-direct product in Tao's proof of Gromov's theorem

Published on 29 Mar 2026 - 19:17

score 207 · Answer 2 · 2022-05-25 17:28:53

207

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Subgroups of $\mathbb{Z}\rtimes\mathbb{Z}$.

Published on 25 May 2022 - 17:28

score 263 · Answer 3 · 2026-03-29 14:57:45

263

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How to formally derive semidirect product for D4 group?

Published on 29 Mar 2026 - 14:57

score 102 · Answer 4 · 2026-03-30 17:13:13

102

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Galois groups of towers

Published on 30 Mar 2026 - 17:13

score 76 · Answer 5 · 2022-06-20 06:21:20

76

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Splitting of Lie groups over codimension 1 subgroups

Published on 20 Jun 2022 - 6:21

score 62 · Answer 6 · 2022-06-21 16:18:32

62

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Given $p$ odd prime and $G=S_p$ and $P\leq G$ $p$-Sylow and $H=N_G(P)$ find $|H|$ and prove if $p=5$ then $H \cong C_4 \ltimes C_5 $

Published on 21 Jun 2022 - 16:18

score 78 · Answer 7 · 2026-03-29 05:12:14

78

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For two subgroups $H, N$ of a non-abelian group $G$, if $HN\cong H\rtimes_{\tt A} N$, can we deduct $H\cap N=1$ if we know $N \unlhd HN$?

Published on 29 Mar 2026 - 5:12

score 63 · Answer 8 · 2026-03-28 21:51:40

63

Views

A question about the definition of semidirect product of groups

Published on 28 Mar 2026 - 21:51

score 96 · Answer 9 · 2026-03-25 22:06:13

96

Views

Semidirect product of Heisenberg group 3 and $SL(2,3)$

Published on 25 Mar 2026 - 22:06

score 328 · Answer 10 · 2022-07-16 21:57:54

328

Views

How to "feel" semidirect products

Published on 16 Jul 2022 - 21:57

score 431 · Answer 11 · 2022-07-19 17:14:19

431

Views

Different homomorphisms giving isomorphic semidirect product

Published on 19 Jul 2022 - 17:14

score 100 · Answer 12 · 2022-07-24 14:34:16

100

Views

How to classify groups of order $6p$ where $p$ is a prime and of the form $p=6\ell+1$, especially $|G|=2022$?

Published on 24 Jul 2022 - 14:34

score 298 · Answer 13 · 2022-07-25 23:33:07

298

Views

Show there exists a non-abelian group of order $pq$ without semi-direct product

Published on 25 Jul 2022 - 23:33

score 52 · Answer 14 · 2022-07-29 00:43:46

52

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Show $gLg^{-1} \cap L = \{1\}$ for all $g \notin L$ where $G = N \rtimes L$ and for all $n \neq 1$ in N, $C_{G}(n) \subseteq N$.

Published on 29 Jul 2022 - 0:43

score 105 · Answer 15 · 2026-03-25 14:37:33

105

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Generalised Symmetric group and Semidirect Product

Published on 25 Mar 2026 - 14:37

List Question

Semi-direct product in Tao's proof of Gromov's theorem

Subgroups of $\mathbb{Z}\rtimes\mathbb{Z}$.

How to formally derive semidirect product for D4 group?

Galois groups of towers

Splitting of Lie groups over codimension 1 subgroups

Given $p$ odd prime and $G=S_p$ and $P\leq G$ $p$-Sylow and $H=N_G(P)$ find $|H|$ and prove if $p=5$ then $H \cong C_4 \ltimes C_5 $

For two subgroups $H, N$ of a non-abelian group $G$, if $HN\cong H\rtimes_{\tt A} N$, can we deduct $H\cap N=1$ if we know $N \unlhd HN$?

A question about the definition of semidirect product of groups

Semidirect product of Heisenberg group 3 and $SL(2,3)$

How to "feel" semidirect products

Different homomorphisms giving isomorphic semidirect product

How to classify groups of order $6p$ where $p$ is a prime and of the form $p=6\ell+1$, especially $|G|=2022$?

Show there exists a non-abelian group of order $pq$ without semi-direct product

Show $gLg^{-1} \cap L = \{1\}$ for all $g \notin L$ where $G = N \rtimes L$ and for all $n \neq 1$ in N, $C_{G}(n) \subseteq N$.

Generalised Symmetric group and Semidirect Product

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