# Strongly ambivalent group

From Groupprops

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism

View a complete list of group propertiesVIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

## Definition

A group is termed a **strongly ambivalent group** if every element in the group is a strongly real element: it is either the identity element, or an involution (element of order two) or the product of two involutions.

## Relation with other properties

### Weaker properties

- Ambivalent group
- Group having a class-inverting automorphism
- Group in which every element is automorphic to its inverse