Profinite Group

Profinite Group

In mathematics, profinite groups are topological groups that are in a certain sense assembled from finite groups; they share many properties with their finite quotients.

A non-compact generalization of a profinite group is a locally profinite group.

Read more about Profinite Group:  Definition, Examples, Properties and Facts, Profinite Completion, Ind-finite Groups

Famous quotes containing the word group:

    Just as a person who is always asserting that he is too good-natured is the very one from whom to expect, on some occasion, the coldest and most unconcerned cruelty, so when any group sees itself as the bearer of civilization this very belief will betray it into behaving barbarously at the first opportunity.
    Simone Weil (1910–1943)