Strongly real element
This article defines a property of elements in groups
An element in a group is said to be strongly real if it satisfies the following equivalent conditions:
- 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).
- It is either the identity element or there is an involution that conjugates it to its inverse.