Difference between revisions of "Simple group"

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'''Simple group''': A nontrivial group that has only two normal subgroups: the whole group and the trivial subgroup.
 
'''Simple group''': A nontrivial group that has only two normal subgroups: the whole group and the trivial subgroup.
  
Related terms: [[Groupprops:Almost simple group|Almost simple group]], [[Groupprops:Quasisimple group|quasisimple group]], [[Groupprops:Simple algebraic group|simple algebraic group]]
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Related terms: [[Groupprops:Almost simple group|Almost simple group]], [[Groupprops:Quasisimple group|quasisimple group]], [[Groupprops:Characteristically simple group|characteristically simple group]], [[Groupprops:Simple algebraic group|simple algebraic group]]
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Term variations: [[Groupprops:Category:Variations of simplicity]]
  
 
Primary subject wiki entry: [[Groupprops:Simple group]]
 
Primary subject wiki entry: [[Groupprops:Simple group]]
  
 
Also located at: [[Wikipedia:Simple group]], [[Mathworld:SimpleGroup]], [[sor:S/s085220|Springer Online Reference Works]]
 
Also located at: [[Wikipedia:Simple group]], [[Mathworld:SimpleGroup]], [[sor:S/s085220|Springer Online Reference Works]]

Latest revision as of 16:50, 20 January 2009

Simple group: A nontrivial group that has only two normal subgroups: the whole group and the trivial subgroup.

Related terms: Almost simple group, quasisimple group, characteristically simple group, simple algebraic group

Term variations: Groupprops:Category:Variations of simplicity

Primary subject wiki entry: Groupprops:Simple group

Also located at: Wikipedia:Simple group, Mathworld:SimpleGroup, Springer Online Reference Works