- #1
hsong9
- 80
- 1
Homework Statement
A. Let |g| = 20 in a group G. Compute
|g^2|, |g^8|,|g^5|, |g^3|
B. In each case find the subgroup H = <x,y> of G.
a) G = <a> is cyclic, x = a^m, y = a^k, gcd(m,k)=d
b) G=S_3, x=(1 2), y=(2 3)
c) G = <a> * <b>, |a| = 4, |b| = 6, x = (a^2, b), y = (a,b^3)
The Attempt at a Solution
A. I know |g^2| = 20/2 = 10 and |g^5| = 20/5 = 4
But |g^8|, |g^3| don't know..
B. a)H=<a^d> , right?
but
I don't know how to solve b) and c)
Thanks!