Finite Permutation Groups and Finite Simple Groups
Copyright policy )Finite Permutation Groups and Finite Simple Groups
In the past two decades, there have been far-reaching developments in the problem of determining all finite non-abelian simple groups—so much so, that many people now believe that the solution to the problem is imminent. And now, as I correct these proofs in October 1980, the solution has just been announced. Of course, the solution will have a considerable effect on many related areas, both within group theory and outside. The purpose of this article is to consider the theory of finite permutation groups with the assumption that the finite simple groups are known, and to examine questions such as: which problems are solved or solvable under this assumption, and what important problems remain?
- University of Oxford United Kingdom
classification of finite simple groups, Finite automorphism groups of algebraic, geometric, or combinatorial structures, finite permutation groups, Primitive groups, multiply transitive groups, rank, Characterization theorems for permutation groups, primitive permutation groups, primitive groups, General theory for finite permutation groups, Finite simple groups and their classification, Multiply transitive finite groups
classification of finite simple groups, Finite automorphism groups of algebraic, geometric, or combinatorial structures, finite permutation groups, Primitive groups, multiply transitive groups, rank, Characterization theorems for permutation groups, primitive permutation groups, primitive groups, General theory for finite permutation groups, Finite simple groups and their classification, Multiply transitive finite groups
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