List questions from direct-product

Published on 23 Apr 2016 - 19:03

2.3k

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Direct Product and Semi-direct Product between $S_{3}$ and $Z_{2}$, and Related Problem

Published on 08 May 2016 - 4:05

94

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Write $A=Aut(C_{7^3})$ as a direct product of cyclic groups

Published on 24 May 2016 - 7:48

1.1k

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How many subgroups of order 25 in $G = \Bbb{Z}_{360} \oplus \Bbb{Z}_{150} \oplus \Bbb{Z}_{75} \oplus \Bbb{Z}_{3}$

Published on 24 May 2016 - 7:53

287

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External Semidirect product and isomorphism

Published on 16 Jun 2016 - 11:57

93

Views

Abelian Group Structures

Published on 18 Jun 2016 - 22:40

250

Views

Irreps of products between dihedral group and any finite group

Published on 25 Mar 2026 - 11:14

38

Views

Order of this group?

Published on 22 Jun 2016 - 19:12

994

Views

Concerning Groups having the property that intersection of any two non-trivial subgroups is non-trivial

Published on 03 Jul 2016 - 8:54

1.4k

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Let $G$ be an abelian with $\vert G\vert=mn$ and $\gcd(m,n)=1$. Prove that $G$ is $H\times K$ with $H,K\leq G$, $\vert H\vert=m$ and $\vert K\vert=n$.

Published on 03 Jun 2013 - 12:16

19.7k

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Subgroups of a direct product

Published on 06 Sep 2013 - 6:22

3.2k

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Is any subgroup of a direct product isomorphic to a direct product of subgroups?

Published on 16 Oct 2013 - 21:28

454

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How to understand the direct product of group representations (on example)?

Published on 17 Nov 2013 - 17:21

934

Views

Counting Elements of Order $2$ in a Direct Product of Cyclic Groups

Published on 02 Jan 2014 - 10:49

6.2k

Views

Center of Direct Product is the Direct Product of Centers

Published on 07 Jan 2014 - 20:40

List Question

sum of vector subspaces + subspace generated by ~

Direct Product and Semi-direct Product between $S_{3}$ and $Z_{2}$, and Related Problem

Write $A=Aut(C_{7^3})$ as a direct product of cyclic groups

How many subgroups of order 25 in $G = \Bbb{Z}_{360} \oplus \Bbb{Z}_{150} \oplus \Bbb{Z}_{75} \oplus \Bbb{Z}_{3}$

External Semidirect product and isomorphism

Abelian Group Structures

Irreps of products between dihedral group and any finite group

Order of this group?

Concerning Groups having the property that intersection of any two non-trivial subgroups is non-trivial

Let $G$ be an abelian with $\vert G\vert=mn$ and $\gcd(m,n)=1$. Prove that $G$ is $H\times K$ with $H,K\leq G$, $\vert H\vert=m$ and $\vert K\vert=n$.

Subgroups of a direct product

Is any subgroup of a direct product isomorphic to a direct product of subgroups?

How to understand the direct product of group representations (on example)?

Counting Elements of Order $2$ in a Direct Product of Cyclic Groups

Center of Direct Product is the Direct Product of Centers

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