Concept information
Preferred term
simple group
Definition(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)
Broader concept(s)
Narrower concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-S13BFT24-6
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