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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.
== Definition ==
A profinite group is a topological group that is isomorphic to the inverse limit of an inverse system of discrete finite groups. More formally, a profinite group is a Hausdorff, compact, and totally disconnected topological group: that is, a topological group that is also a Stone space. In categorical terms, this is a special case of a (co)filtered limit construction.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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