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(Solved): 2. Let G be a group. Let aG be a fixed element. Let H be a subgroup of G. Let K={xGx=aha ...

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2. Let

G

be a group. Let

a \in G

be a fixed element. Let

H

be a subgroup of

G

. Let

K = {x \in G ∣ x = ah a^{- 1}

where

h \in H}

. Prove that

K

is a subgroup of

G

.

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