Surface group

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

Definition

Symbol-free definition

A group is termed a surface group if it occurs as the fundamental group of a connected 2-manifold.

Formalisms

In terms of the fundamental group operator

This property is obtained by applying the fundamental group operator to the property: connected 2-manifold
View other properties obtained by applying the fundamental group operator

Study of this notion

Mathematical subject classification

Under the Mathematical subject classification, the study of this notion comes under the class: 20F34