I'm having trouble grasping the concept of centralizers and generators. Is there any way to visualize these groups?(adsbygoogle = window.adsbygoogle || []).push({});

Edit:

For example, the centralizer of S in G (S is a subgp of G) is given by

Z(S) ={g ε G : gh = hg for all h ε G}

Does that just mean it is like the biggest abelian subgroup of G?

I'm pretty unclear on the concept of generator, and the notation use.

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# Centralizers and Generators

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