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(4) Let (G, -) be a group and let H be a. subgroup of H. Fix an element a. of
G and let K ={oho‘1:h E H}.
1. Prove that K is a subgroup of G. 2. Prove that the map 1p : H —> K, h I—> aha—1 is an isomorphism of
groups.

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1. Let h, EH & My EH
then ahjack & ahzack
then we have to show that
( ah, al) ( a dza] ) EK
so , ( ah, at ) ( an , a - )
= adjat anyat
Is ahing at EK since hidg Ett.
now we have to show...

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