Real element

Summary

In group theory, a discipline within modern algebra, an element $x$ of a group $G$ is called a real element of $G$ if it belongs to the same conjugacy class as its inverse $x^{-1}$ , that is, if there is a $g$ in $G$ with $x^g = x^{-1}$ , where $x^g$ is defined as $g^{-1} \cdot x \cdot g$ . An element $x$ of a group $G$ is called strongly real if there is an involution $t$ with $x^t = x^{-1}$ .

Tag	`52BNYXGVCV`
URI	`m2://52BNYXGVCV`
Aliases	`extended-centralizer`, `strongly-real-element`
Kind	concept
Writing	W1 stated
Same as	Wikidata Q25105219 Wikipedia Real element
Changed	4 November 2026

Real element

Summary

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