A -element of a group is semisimple if , where is the commuting product of all components of and is the centralizer of .
Semisimple Element
See also
Centralizer, p-ElementExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Semisimple Element." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SemisimpleElement.html