- #1
jacobrhcp
- 169
- 0
prove that if G is a finite and abelian group and m is the least common multiple of the order of it's element, that there is an element of order m.
My idea:
if ai are the elements of G, the order of a1*a2 is lcm(a1,a2) and the result follows directly when applied to all ai... but why is this correct and why is this only for abelian groups?
My idea:
if ai are the elements of G, the order of a1*a2 is lcm(a1,a2) and the result follows directly when applied to all ai... but why is this correct and why is this only for abelian groups?
Last edited: