Math Problem Statement
Let G be a group and X ⊂ G a subset ( not necessarily a subgroup ) of G . Let H be the intersection of all subgroups of G that contain X . Show that H is a subgroup of G . It is called the subgroup of G generated by the subset X .
Solution
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Math Problem Analysis
Mathematical Concepts
Group Theory
Subgroups
Intersection of Subgroups
Formulas

Theorems
Subgroup Criterion
Suitable Grade Level
University Level (Abstract Algebra)