Math 2.0

Concept

Absolutely simple group

Summary

In mathematics, in the field of group theory, a group is said to be absolutely simple if it has no proper nontrivial serial subgroups. That is, GG is an absolutely simple group if the only serial subgroups of GG are {e}\{ e \} (the trivial subgroup), and GG itself (the whole group).

Further reading

  1. Wikipedia, page 4966802, revision 1268644027, Absolutely simple group. adopted
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Changed4 November 2026

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