Find all 8 elements of order 3 in $mathbb{R}^2/mathbb{Z}^2$











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What does the notation $mathbb{R}^2/mathbb{Z}^2$ actually mean? Is it $(x_1,x_2)$?










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  • It means pairs of real numbers, but only up to shifts by integers. For example, $(1.1, 5.6) = (0.1, 0.6) = (-0.9, 100.6)$.
    – Joppy
    Nov 23 at 2:07










  • ohhh okk thxxxx
    – m.bazza
    Nov 23 at 2:12










  • ahh i got it now thx
    – m.bazza
    Nov 23 at 2:15










  • Also, check out the guide for new askers.
    – Jyrki Lahtonen
    Nov 23 at 3:54










  • Additively or multiplicatively?
    – Wuestenfux
    Nov 23 at 15:10















up vote
0
down vote

favorite












What does the notation $mathbb{R}^2/mathbb{Z}^2$ actually mean? Is it $(x_1,x_2)$?










share|cite|improve this question






















  • It means pairs of real numbers, but only up to shifts by integers. For example, $(1.1, 5.6) = (0.1, 0.6) = (-0.9, 100.6)$.
    – Joppy
    Nov 23 at 2:07










  • ohhh okk thxxxx
    – m.bazza
    Nov 23 at 2:12










  • ahh i got it now thx
    – m.bazza
    Nov 23 at 2:15










  • Also, check out the guide for new askers.
    – Jyrki Lahtonen
    Nov 23 at 3:54










  • Additively or multiplicatively?
    – Wuestenfux
    Nov 23 at 15:10













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up vote
0
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What does the notation $mathbb{R}^2/mathbb{Z}^2$ actually mean? Is it $(x_1,x_2)$?










share|cite|improve this question













What does the notation $mathbb{R}^2/mathbb{Z}^2$ actually mean? Is it $(x_1,x_2)$?







abstract-algebra






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asked Nov 23 at 2:05









m.bazza

827




827












  • It means pairs of real numbers, but only up to shifts by integers. For example, $(1.1, 5.6) = (0.1, 0.6) = (-0.9, 100.6)$.
    – Joppy
    Nov 23 at 2:07










  • ohhh okk thxxxx
    – m.bazza
    Nov 23 at 2:12










  • ahh i got it now thx
    – m.bazza
    Nov 23 at 2:15










  • Also, check out the guide for new askers.
    – Jyrki Lahtonen
    Nov 23 at 3:54










  • Additively or multiplicatively?
    – Wuestenfux
    Nov 23 at 15:10


















  • It means pairs of real numbers, but only up to shifts by integers. For example, $(1.1, 5.6) = (0.1, 0.6) = (-0.9, 100.6)$.
    – Joppy
    Nov 23 at 2:07










  • ohhh okk thxxxx
    – m.bazza
    Nov 23 at 2:12










  • ahh i got it now thx
    – m.bazza
    Nov 23 at 2:15










  • Also, check out the guide for new askers.
    – Jyrki Lahtonen
    Nov 23 at 3:54










  • Additively or multiplicatively?
    – Wuestenfux
    Nov 23 at 15:10
















It means pairs of real numbers, but only up to shifts by integers. For example, $(1.1, 5.6) = (0.1, 0.6) = (-0.9, 100.6)$.
– Joppy
Nov 23 at 2:07




It means pairs of real numbers, but only up to shifts by integers. For example, $(1.1, 5.6) = (0.1, 0.6) = (-0.9, 100.6)$.
– Joppy
Nov 23 at 2:07












ohhh okk thxxxx
– m.bazza
Nov 23 at 2:12




ohhh okk thxxxx
– m.bazza
Nov 23 at 2:12












ahh i got it now thx
– m.bazza
Nov 23 at 2:15




ahh i got it now thx
– m.bazza
Nov 23 at 2:15












Also, check out the guide for new askers.
– Jyrki Lahtonen
Nov 23 at 3:54




Also, check out the guide for new askers.
– Jyrki Lahtonen
Nov 23 at 3:54












Additively or multiplicatively?
– Wuestenfux
Nov 23 at 15:10




Additively or multiplicatively?
– Wuestenfux
Nov 23 at 15:10















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