Simple group of Ree type
This article defines a group property that can be evaluated, or makes sense, for simple groups
This article is about a definition in group theory that is standard among the group theory community (or sub-community that dabbles in such things) but is not very basic or common for people outside.
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Definition
A simple group of Ree type is a finite simple non-Abelian group satisfying the following conditions:
- It has an Abelian Sylow 2-subgroup
- It contains an involution such that
where .
The case corresponds instead to the Janko group (since ).