Difference between revisions of "Normal subgroup"

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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...)
 
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A [[subgroup]] ''N'' of a [[group]] ''G'' is a [[normal subgroup]], if one of the following equivalent conditions hold:
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A [[subgroup]] ''N'' of a [[Group (mathematics)|group]] ''G'' is a '''normal subgroup''', if one of the following equivalent conditions holds:
  
 
# <math>a N = N a </math> for all <math> a \in G</math>
 
# <math>a N = N a </math> for all <math> a \in G</math>

Revision as of 21:16, November 17, 2008

A subgroup N of a group G is a normal subgroup, if one of the following equivalent conditions holds:

  1. for all
  2. for all
  3. for all