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  • https://math.libretexts.org/Bookshelves/Abstract_and_Geometric_Algebra/An_Inquiry-Based_Approach_to_Abstract_Algebra_(Ernst)/02%3A_Introduction_to_Groups/2.04%3A_Generating_Sets
    A generating set for a group is analogous to a spanning set for a vector space and a minimal generating set for a group is analogous to a basis for a vector space. In Section 2.1, we discovered that t...A generating set for a group is analogous to a spanning set for a vector space and a minimal generating set for a group is analogous to a basis for a vector space. In Section 2.1, we discovered that the set of spins is a non-minimal generating set for Spin3×3 while the set T={s11,s12,s23,s36,s56,s45,s47,s78,s89} is a minimal generating set.

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