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Ffom exercise 27 of Dummite and Foote: Let ##N## be a finite subgroup of ##G##. Show that ##gNg^{-1}\subseteq N## if and only if ##gNg^{-1} = N##.
Why must the subgroup ##N## be finite? Isn't this result true for subgroups of any size?
Why must the subgroup ##N## be finite? Isn't this result true for subgroups of any size?