Difference between revisions of "Subgroup"
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BRichtigen (talk | contribs) m (missed the cat...) |
BRichtigen (talk | contribs) (simple examples) |
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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]] (''G'',<math>\cdot</math>) is called a '''subgroup''', if (''H'',<math>\cdot</math>) is itself a group. | ||
| + | ==Simple Examples== | ||
| + | # <math>(2\mathbb{Z},+)</math> is a subgroup of <math>(\mathbb{Z},+) </math> | ||
| + | # <math>(\mathbb{Z},+) </math> is a subgroup of <math>(\mathbb{Q},+) </math> | ||
| + | # <math>(\mathbb{Q}^+,\cdot) </math> is a subgroup of <math>(\mathbb{R}^+,\cdot) </math> | ||
[[Category:Algebra]] | [[Category:Algebra]] | ||
