In the mathematical subject of group theory, the rank of a group G, denoted rank(G), can refer to the smallest cardinality of a generating set for G, that is rank ( G ) = min { | X | : X ⊆ G , ⟨ X ⟩ = G } . {\displaystyle \operatorname {rank} (G)=\min\{|X|:X\subseteq G,\langle X\rangle =G\}.} If G is a finitely generated group, then the rank of G is a non-negative integer.
In the mathematical subject of group theory, the rank of a group G, denoted rank(G), can refer to the smallest cardinality of a generating set for G, that is rank ( G ) = min { | X | : X ⊆ G , ⟨ X ⟩ = G } . {\displaystyle \operatorname {rank} (G)=\min\{|X|:X\subseteq G,\langle X\rangle =G\}.} If G is a finitely generated group, then the rank of G is a non-negative integer.
Source: Wikipedia "Rank of a group" · CC BY-SA 4.0
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