Semiautomorphism of a group

From Groupprops
Jump to: navigation, search

This article defines a function property, viz a property of functions from a group to itself

This article defines a term that has been used or referenced in a journal article or standard publication, but may not be generally accepted by the mathematical community as a standard term.[SHOW MORE]


Let G be a group. A semiautomorphism of G is a semihomomorphism of groups from G to itself, which has an inverse that is also a semihomomorphism of groups. Equivalently, it is a bijective semihomomorphism of groups from G to itself.

Relation with other properties

Stronger properties

Weaker properties