playa007
Sep25-08, 02:46 AM
1. The problem statement, all variables and given/known data
Find all subgroups of D10
2. Relevant equations
Lagrange's Theorem
3. The attempt at a solution
By Lagrange's Theorem, all subgroups must have order 1, 2, 5, 10. So we search for subgroups with these orders.
H = {1}, {1,s}, {1,sr}, {1,sr^2}, {1,sr^3}, {1,sr^4}, {1,r,r^2,r^3,r^4} and the improper subgroup D5 itself
I am sure this is not the complete list
Find all subgroups of D10
2. Relevant equations
Lagrange's Theorem
3. The attempt at a solution
By Lagrange's Theorem, all subgroups must have order 1, 2, 5, 10. So we search for subgroups with these orders.
H = {1}, {1,s}, {1,sr}, {1,sr^2}, {1,sr^3}, {1,sr^4}, {1,r,r^2,r^3,r^4} and the improper subgroup D5 itself
I am sure this is not the complete list