simple group
A non-trivial group is said to be simple
if the only normal subgroups
of are and itself.
Equivalently, a simple group is a group in which the trivial subgroup is a maximal normal subgroup.
| Title | simple group |
|---|---|
| Canonical name | SimpleGroup |
| Date of creation | 2013-03-22 12:23:35 |
| Last modified on | 2013-03-22 12:23:35 |
| Owner | yark (2760) |
| Last modified by | yark (2760) |
| Numerical id | 9 |
| Author | yark (2760) |
| Entry type | Definition |
| Classification | msc 20E32 |
| Related topic | Group |
| Related topic | NormalSubgroup |
| Defines | simple |