Difference between revisions of "Normal subgroup"
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BRichtigen (Talk | contribs) (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 | + | 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:
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for all 
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for all 
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for all 