# Subset and Subgroup Problem

If G is a group and gEG, define C(g)={zEG|zg=gz} show that C(g) is a subgroup of G (the centralizer of g in G).

Note: E means element of

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If G is a group and define . show that C(g) is a subgroup of G (the centralizer of g in G).

Proof. We only ...

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A problem involvng subgroups and subsets is solved. The solution is comprehensive.

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