The irish immigrants in america desired to be absorbed into society and did not want to be treated as a separate group. this is an example of

This is an example of "assimilation".

Assimilation may refer to Cultural assimilation, is the procedure in which a minority gathering or culture comes to looks like those of an overwhelming gathering. The term is utilized to allude to the two people and gatherings; the last case can allude to a scope of social gatherings, including ethnic minorities, foreigners, indigenous people groups, and other minimized gatherings, for example, sexual minorities who adjust to being socially overwhelmed by another societal gathering.