Difference between revisions of "Subgroup"
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BRichtigen (talk | contribs) (simple examples) |
(Bypass redirect so I don't have to later.) |
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| − | A [[subset]] ''H'' of a [[group]] (''G'',<math>\cdot</math>) is called a '''subgroup''', if (''H'',<math>\cdot</math>) is itself a group. | + | A [[subset]] ''H'' of a [[Group (mathematics)|group]] (''G'',<math>\cdot</math>) is called a '''subgroup''', if (''H'',<math>\cdot</math>) is itself a group. |
==Simple Examples== | ==Simple Examples== | ||
# <math>(2\mathbb{Z},+)</math> is a subgroup of <math>(\mathbb{Z},+) </math> | # <math>(2\mathbb{Z},+)</math> is a subgroup of <math>(\mathbb{Z},+) </math> | ||
