A finite group $G$ is simple if it has only two normal subgroups - the trivial group and $G$ itself. Simple groups are building blocks for all finite groups, via extensions, and they are divided into cyclic groups of prime order and the non-abelian simple groups. For small orders they are all alternating or linear.
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- Last edited by Tim Dokchitser on 2019-05-22 11:42:05
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- columns.gps_groups.simple
- group.abstract.168.42.top
- group.abstract.360.118.top
- group.abstract.60.5.top
- group.almost_simple
- group.alternating
- group.chief_series
- group.properties_interdependencies
- group.quasisimple
- lmfdb/groups/abstract/main.py (lines 272-273)
- lmfdb/groups/abstract/main.py (line 1944)
- 2023-11-12 11:16:30 by John Jones
- 2019-05-22 11:42:05 by Tim Dokchitser (Reviewed)
- 2019-05-21 16:20:10 by Tim Dokchitser