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definition:subgroup [2013/08/21 08:56]
joshuawiscons
definition:subgroup [2013/08/21 13:09] (current)
bmwoodruff
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 ====Definition 2====  ====Definition 2==== 
-Let $H$ be a subset of a [[definition:group]] $G$.  We say $H$ is a subgroup of $G$ if $H$ is a group itself when using the the multiplication structure of $G$ restricted to $H$. We'll write $H\leq G$ to mean $H$ is a subgroup of $G$.+Let $H$ be a subset of a [[definition:group]] $G$.  We say $H$ is a subgroup of $G$ if $H$ is a group itself when using the multiplication structure of $G$ restricted to $H$. We'll write $H\leq G$ to mean $H$ is a subgroup of $G$.
  
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definition/subgroup.1377089777.txt.gz · Last modified: 2013/08/21 08:56 by joshuawiscons