Show that if is a homomorphism, and has a finite order in H then is infinite or divides thank you.
Last edited by mms; Jul 18th 2009 at 08:24 PM.
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Originally Posted by mms Show that if is a homomorphism, and has a finite order in H then is infinite or divides thank you. if then and thus
thank you, but i have a doubt, if f(a) has a finite order does that mean that a has a finite order?
Originally Posted by mms thank you, but i have a doubt, if f(a) has a finite order does that mean that a has a finite order? not necessarily, but if the order of is finite, then it's divisible by the order of (see your original question again!) example: define by for all then is a homomorphism. let then but is not finite.
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