According to the SCOBA Orthodox:
The word schism, from the Greek, schisma ("to split"), means a division or a split, usually in an organization. A schismatic is a person who creates or incites schism in an organization or who is a member of a splinter group. Schismatic as an adjective means pertaining to a schism or schisms, or to those ideas, policies, etc., that are thought to lead towards or promote schism.
It should be noted that the Greek Archbishop Alexander did create a Schism in American Orthodoxy when in 1929 he told Archbishop Aftimios Ofiesh that he and not Aftimios was over "all" Orthodox in North America. This is False. Abp. Ofiesh was canonically head of this Church, THEOCACNA, to serve all English speaking Orthodox in North America, The Greek Archbishop, according to the Orthodox Canons and Traditions was only over the members of the Greek Orthodoc Church... and not over all Orthodox in North America as he claimed. When the Ecumenical Patriarch stated publicly that he was over all Orthodox worldwide the Russian Patriarch publicly stated that was false and that the Ecumenical Patriarch was over the Greek Ortodox and that all Orthodox Churches have their own Patriarch or Metropolitan.
The words schism and schismatic have found perhaps their heaviest usage in the history of Christianity, to denote splits within a church or religious body. In this context, schismatic as a noun denotes a person who creates or incites schism in a church or is a member of a splinter church, and schismatic as an adjective refers to ideas and things that are thought to lead towards or promote schism, often describing a church that has departed from whichever communion the user of the word considers to be the true Christian church. Within Christianity the word schism may refer to:
The offense of inciting divisions among Christians.
The event of two groups of Christians ceasing to be in communion with each other, so that, whereas they formerly could worship together, they decide they must worship separately because of disagreements between them.
Within the Roman Catholic Church schism is still an act that incurs automatic excommunication as a penalty.