Strongly real element

Definition
An element in a group is said to be strongly real if it satisfies the following equivalent conditions:


 * 1) It is either the identity element or an involution or can be expressed as a product of two distinct involutions (here an involution means a non-identity element whose square is the identity element).
 * 2) It is either the identity element or there is an involution that conjugates it to its inverse.

Stronger properties

 * Weaker than::Involution

Weaker properties

 * Stronger than::Real element

Related group properties

 * Strongly ambivalent group is a group in which all the elements are strongly real elements.