Find the subgroups of $Bbb{Z}_2 $ $×$ $Bbb{Z}_2$ $×$ $Bbb{Z}_4$ [on hold]












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How can I find all the subgroups of
$mathbb Z_2 times mathbb Z_2 times mathbb Z_4$ which are isomorphic to Klein-4 group? How can I approach to such a problem ?



Also how to find all proper subgroups of $mathbb Z_2 times mathbb Z_2 times mathbb Z_4$?










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put on hold as off-topic by Shaun, anomaly, Saad, Dietrich Burde, drhab Dec 26 at 16:46


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shaun, anomaly, Saad, Dietrich Burde, drhab

If this question can be reworded to fit the rules in the help center, please edit the question.









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    You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
    – Shaun
    Dec 26 at 13:37
















0














How can I find all the subgroups of
$mathbb Z_2 times mathbb Z_2 times mathbb Z_4$ which are isomorphic to Klein-4 group? How can I approach to such a problem ?



Also how to find all proper subgroups of $mathbb Z_2 times mathbb Z_2 times mathbb Z_4$?










share|cite|improve this question















put on hold as off-topic by Shaun, anomaly, Saad, Dietrich Burde, drhab Dec 26 at 16:46


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shaun, anomaly, Saad, Dietrich Burde, drhab

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 1




    You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
    – Shaun
    Dec 26 at 13:37














0












0








0







How can I find all the subgroups of
$mathbb Z_2 times mathbb Z_2 times mathbb Z_4$ which are isomorphic to Klein-4 group? How can I approach to such a problem ?



Also how to find all proper subgroups of $mathbb Z_2 times mathbb Z_2 times mathbb Z_4$?










share|cite|improve this question















How can I find all the subgroups of
$mathbb Z_2 times mathbb Z_2 times mathbb Z_4$ which are isomorphic to Klein-4 group? How can I approach to such a problem ?



Also how to find all proper subgroups of $mathbb Z_2 times mathbb Z_2 times mathbb Z_4$?







abstract-algebra group-theory group-isomorphism






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edited Dec 26 at 14:42









anomaly

17.3k42663




17.3k42663










asked Dec 26 at 13:32









Henry

325




325




put on hold as off-topic by Shaun, anomaly, Saad, Dietrich Burde, drhab Dec 26 at 16:46


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shaun, anomaly, Saad, Dietrich Burde, drhab

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by Shaun, anomaly, Saad, Dietrich Burde, drhab Dec 26 at 16:46


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shaun, anomaly, Saad, Dietrich Burde, drhab

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
    – Shaun
    Dec 26 at 13:37














  • 1




    You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
    – Shaun
    Dec 26 at 13:37








1




1




You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
– Shaun
Dec 26 at 13:37




You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
– Shaun
Dec 26 at 13:37










1 Answer
1






active

oldest

votes


















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Hint: The Klein 4 group consists of two (arbitrary) elements of order $2$, their sum, and the identity element.






share|cite|improve this answer





















  • It's worth noting that their sum is also of order $2$.
    – Shaun
    Dec 26 at 15:32


















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









0














Hint: The Klein 4 group consists of two (arbitrary) elements of order $2$, their sum, and the identity element.






share|cite|improve this answer





















  • It's worth noting that their sum is also of order $2$.
    – Shaun
    Dec 26 at 15:32
















0














Hint: The Klein 4 group consists of two (arbitrary) elements of order $2$, their sum, and the identity element.






share|cite|improve this answer





















  • It's worth noting that their sum is also of order $2$.
    – Shaun
    Dec 26 at 15:32














0












0








0






Hint: The Klein 4 group consists of two (arbitrary) elements of order $2$, their sum, and the identity element.






share|cite|improve this answer












Hint: The Klein 4 group consists of two (arbitrary) elements of order $2$, their sum, and the identity element.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Dec 26 at 13:35









Arthur

110k7105186




110k7105186












  • It's worth noting that their sum is also of order $2$.
    – Shaun
    Dec 26 at 15:32


















  • It's worth noting that their sum is also of order $2$.
    – Shaun
    Dec 26 at 15:32
















It's worth noting that their sum is also of order $2$.
– Shaun
Dec 26 at 15:32




It's worth noting that their sum is also of order $2$.
– Shaun
Dec 26 at 15:32



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