i need a clue to prove this. can any one please help?

Ifa&b beelements of a group G, & o(a)=m (read order ofa= m) and o(b)= n and gcd(m,n)=1

then <a> (intersection) <b>= {identity}

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- Jun 3rd 2012, 06:43 AMsrv123cyclic group
i need a clue to prove this. can any one please help?

If*a*&*b be*elements of a group G, & o(*a*)=m (read order of*a= m*) and o(*b)*= n and gcd(m,n)=1

then <*a*> (intersection) <*b*>= {identity} - Jun 3rd 2012, 07:03 AMILikeSerenaRe: cyclic group
- Jun 3rd 2012, 11:47 AMsrv123Re: cyclic group
thanks...

i get it...o(c) must divide both m and n but they are co-prime...

thanks again..

had a good experience on the 1st day:) - Jun 3rd 2012, 11:48 AMILikeSerenaRe: cyclic group
You're welcome! :D