Concept information
Terme préférentiel
simple group
Définition(s)
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In mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself. A group that is not simple can be broken into two smaller groups, namely a nontrivial normal subgroup and the corresponding quotient group. This process can be repeated, and for finite groups one eventually arrives at uniquely determined simple groups, by the Jordan–Hölder theorem.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Simple_group)
Concept(s) générique(s)
Concept(s) spécifique(s)
Traductions
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français
URI
http://data.loterre.fr/ark:/67375/PSR-S13BFT24-6
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