Group of composition length two
This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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Definition
A group of composition length two is a group whose composition length is at most two. In other words, it satisfies one of these three cases:
- It is a trivial group.
- It is a simple group.
- It has a simple normal subgroup such that the quotient is also simple; in other words, it has a simple maximal normal subgroup.