Is the the following definition correct?(adsbygoogle = window.adsbygoogle || []).push({});

Two elements a and b of a group G are said to be CONJUGATE if there exists g in G such that [tex]a=gbg^{-1}[/tex].

For instance, show that all elements in the symmetric group S5 of order 6 conjugate.

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# Conjugate Elements of a Symmetric Group

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