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What is the meaning of this expression ?

  1. May 4, 2009 #1
    [tex] nZ/mZ [/tex]

    where / means a quotient group

    if n=1 then [tex] Z/mZ [/tex] is the set of integers modulus n {0,1,2,3,4,....,n-1} in case

    m=2 we have a binary system, but i do not know what (1) will mean

    of ocurse 'Z' means the set of all (positive) integers.
     
  2. jcsd
  3. May 4, 2009 #2

    matt grime

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    What is (1)?

    Anyway, this only makes sense if n divides m as you need mZ to be a subgroup of nZ.

    In this case you can just factor n out and be left with something isomorphic to Z/m'Z where m=nm'.

    They are not equal - the the cosets are different but they are isomorphic.
     
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