Show that if is an isomorphism, then for each

Does this argument work?

if has order l then

then as the identity element of is mapped to the identity element

then as must hold

we have

where as bijection each

therefore in

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- Dec 31st 2010, 09:50 AMFGT12orders of elements and isomorphisms
Show that if is an isomorphism, then for each

Does this argument work?

if has order l then

then as the identity element of is mapped to the identity element

then as must hold

we have

where as bijection each

therefore in - Dec 31st 2010, 11:38 AMDrexel28