A problem in the theory of formations of finite groups
In 1968 Carter, Fisher, and Hawkes developed the method of extremal classes to study local formations and their critical groups in the class of finite solvable groups. In the present paper the problem of Shemetkov on the extension of this method to arbitrary finite groups is solved.
Key wordsfinite group local formation local screen extremal class solvable group closed formation quasi-hereditary screen
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