Find torsion coefficients of z10 x z15 x z20
I made:
z10 x z15 x z20 = (z5 x z2 )x(z5 x z3)x(z5 x z4)
= z5 x z5 x (z2x z3 x z4 x z5) = z5 x z5 x z60
So the torsion coefficients are 5, 5, 60?
I know that:
(m,n)=1 iff Zm×Zn≅Zmn
The first equality because (2, 5) = 1, (3, 5) = 1, (4, 5) = 1
but i am not sure about last equality because (2, 4)= 2
I also must find the torsion coefficients of:
z28 x z42 and z9 x z14 x z6 x z16
group-theory
asked Nov 26 at 18:43
Kanaloa
43
add a comment |
I made:
z10 x z15 x z20 = (z5 x z2 )x(z5 x z3)x(z5 x z4)
= z5 x z5 x (z2x z3 x z4 x z5) = z5 x z5 x z60
So the torsion coefficients are 5, 5, 60?
I know that:
(m,n)=1 iff Zm×Zn≅Zmn
The first equality because (2, 5) = 1, (3, 5) = 1, (4, 5) = 1
but i am not sure about last equality because (2, 4)= 2
I also must find the torsion coefficients of:
z28 x z42 and z9 x z14 x z6 x z16
group-theory
asked Nov 26 at 18:43
Kanaloa
43
add a comment |
I made:
z10 x z15 x z20 = (z5 x z2 )x(z5 x z3)x(z5 x z4)
= z5 x z5 x (z2x z3 x z4 x z5) = z5 x z5 x z60
So the torsion coefficients are 5, 5, 60?
I know that:
(m,n)=1 iff Zm×Zn≅Zmn
The first equality because (2, 5) = 1, (3, 5) = 1, (4, 5) = 1
but i am not sure about last equality because (2, 4)= 2
I also must find the torsion coefficients of:
z28 x z42 and z9 x z14 x z6 x z16
group-theory
asked Nov 26 at 18:43
Kanaloa
43
I made:
z10 x z15 x z20 = (z5 x z2 )x(z5 x z3)x(z5 x z4)
= z5 x z5 x (z2x z3 x z4 x z5) = z5 x z5 x z60
So the torsion coefficients are 5, 5, 60?
I know that:
(m,n)=1 iff Zm×Zn≅Zmn
The first equality because (2, 5) = 1, (3, 5) = 1, (4, 5) = 1
but i am not sure about last equality because (2, 4)= 2
I also must find the torsion coefficients of:
z28 x z42 and z9 x z14 x z6 x z16
group-theory
group-theory
asked Nov 26 at 18:43
Kanaloa
43
asked Nov 26 at 18:43
Kanaloa
43
asked Nov 26 at 18:43
Kanaloa
43
asked Nov 26 at 18:43
Kanaloa
43
asked Nov 26 at 18:43
Kanaloa
43
43
add a comment |
add a comment |
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