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New page: A subgroup ''N'' of a group ''G'' is a normal subgroup, if one of the following equivalent conditions hold: # <math>a N = N a </math> for all <math> a \in G</math> # <math>a N...
A [[subgroup]] ''N'' of a [[group]] ''G'' is a [[normal subgroup]], if one of the following equivalent conditions hold:
# <math>a N = N a </math> for all <math> a \in G</math>
# <math>a N a^{-1} \subset N </math> for all <math> a \in G</math>
# <math>a N a^{-1} = N </math> for all <math> a \in G</math>
[[Category:Algebra]]
# <math>a N = N a </math> for all <math> a \in G</math>
# <math>a N a^{-1} \subset N </math> for all <math> a \in G</math>
# <math>a N a^{-1} = N </math> for all <math> a \in G</math>
[[Category:Algebra]]