what is the order of the quotient group $(mathbbZtimes mathbbZ_12)/left langle (4, 10) right rangle$?

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If $left langle (4, 10) right rangle$ is the cyclic subgroup of the abelian group of $mathbbZtimes mathbbZ_12$,
what is the order of the quotient group $(mathbbZtimes mathbbZ_12)/left langle (4, 10) right rangle$?



Any help please. Thank you.




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If $left langle (4, 10) right rangle$ is the cyclic subgroup of the abelian group of $mathbbZtimes mathbbZ_12$,
what is the order of the quotient group $(mathbbZtimes mathbbZ_12)/left langle (4, 10) right rangle$?



Any help please. Thank you.




abstract-algebra




share|cite|improve this question















  • 3




    What are your own thoughts about how to solve this?
    – md2perpe
    2 days ago










  • You may find this comment on a similar question helpful.
    – Quasicoherent
    yesterday












up vote
2
down vote

favorite
3









up vote
2
down vote

favorite
3






3





If $left langle (4, 10) right rangle$ is the cyclic subgroup of the abelian group of $mathbbZtimes mathbbZ_12$,
what is the order of the quotient group $(mathbbZtimes mathbbZ_12)/left langle (4, 10) right rangle$?



Any help please. Thank you.




abstract-algebra




share|cite|improve this question











If $left langle (4, 10) right rangle$ is the cyclic subgroup of the abelian group of $mathbbZtimes mathbbZ_12$,
what is the order of the quotient group $(mathbbZtimes mathbbZ_12)/left langle (4, 10) right rangle$?



Any help please. Thank you.





abstract-algebra





share|cite|improve this question










share|cite|improve this question




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  • 3




    What are your own thoughts about how to solve this?
    – md2perpe
    2 days ago










  • You may find this comment on a similar question helpful.
    – Quasicoherent
    yesterday












  • 3




    What are your own thoughts about how to solve this?
    – md2perpe
    2 days ago










  • You may find this comment on a similar question helpful.
    – Quasicoherent
    yesterday







3




3




What are your own thoughts about how to solve this?
– md2perpe
2 days ago




What are your own thoughts about how to solve this?
– md2perpe
2 days ago












You may find this comment on a similar question helpful.
– Quasicoherent
yesterday




You may find this comment on a similar question helpful.
– Quasicoherent
yesterday















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