Quasihomomorphism of groups
The term quasihomomorphism is used in a number of different contexts, many of them different from this one
WARNING: POTENTIAL TERMINOLOGICAL CONFUSION: Please don't confuse this with quasimorphism
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 and be groups. A map is termed a quasihomomorphism of groups if it satisfies the following equivalent conditions:
- Given any homomorphism from an abelian group to , the composite is a homomorphism from to .
- If commute, then .