List questions from semidirect-product

Published on 04 Nov 2017 - 10:17

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Representations of the generalized quaternions

Published on 11 Nov 2017 - 6:55

971

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Automorphisms of a semidirect product.

Published on 11 Nov 2017 - 15:38

238

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For any $n ≥3$ there are exactly $4$ distinct homomorphisms from $Z_2$ into $Aut(Z_2^n).$

Published on 27 Mar 2026 - 20:21

184

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Dummit And Foote Section 5.5 Questin 23 page 187

Published on 25 Mar 2026 - 14:22

416

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Finding 2 nonabelian, nonisomorphic groups of order 225

Published on 12 Nov 2017 - 1:18

188

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Why is $H \rtimes_{\varphi} K$ isomorphic to $H \rtimes_{\varphi \circ \phi} K$ where $\phi \in \text{Aut}(K)$?

Published on 12 Nov 2017 - 5:08

177

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The relationship between semidirect product and free product

Published on 25 Mar 2026 - 22:03

153

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Counting involutions

Published on 25 Mar 2026 - 19:00

883

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If $p$ and $q$ are distinct primes, construct all semidirect products of $\mathbb{Z}_p$ by $\mathbb{Z}_q$.

Published on 05 Dec 2017 - 11:43

71

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Show that $D_3\times_\rho\mathbb{Z}_2$ is not isomorphic to $A_4$

Published on 28 Mar 2026 - 11:33

139

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Maximal normal locally nilpotent subgroup in an infinite extension of a Prüfer group

Published on 27 Mar 2026 - 17:35

483

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Determine all homomorphisms $\phi: K\rightarrow Aut(H)$.

Published on 18 Dec 2017 - 22:14

230

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Counting the number of semidirect products

Published on 20 Dec 2017 - 1:51

7k

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What are the subgroups of a semidirect product?

Published on 21 Sep 2010 - 14:46

List Question

Normal subgroup $K$ which has no complement.

Representations of the generalized quaternions

Automorphisms of a semidirect product.

For any $n ≥3$ there are exactly $4$ distinct homomorphisms from $Z_2$ into $Aut(Z_2^n).$

Dummit And Foote Section 5.5 Questin 23 page 187

Finding 2 nonabelian, nonisomorphic groups of order 225

Why is $H \rtimes_{\varphi} K$ isomorphic to $H \rtimes_{\varphi \circ \phi} K$ where $\phi \in \text{Aut}(K)$?

The relationship between semidirect product and free product

Counting involutions

If $p$ and $q$ are distinct primes, construct all semidirect products of $\mathbb{Z}_p$ by $\mathbb{Z}_q$.

Show that $D_3\times_\rho\mathbb{Z}_2$ is not isomorphic to $A_4$

Maximal normal locally nilpotent subgroup in an infinite extension of a Prüfer group

Determine all homomorphisms $\phi: K\rightarrow Aut(H)$.

Counting the number of semidirect products

What are the subgroups of a semidirect product?

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