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- W2488570039 abstract "A transitive permutation group is semiprimitive if each of its normal subgroups is transitive or semiregular. Interest in this class of groups is motivated by two sources: problems arising in universal algebra related to collapsing monoids and the graph-restrictive problem for permutation groups. Here we develop a theory of semiprimitive groups which encompasses their structure, their quotient actions and a method by which all finite semiprimitive groups are constructed. We also extend some results from the theory of primitive groups to semiprimitive groups, and conclude with open problems of a similar nature." @default.
- W2488570039 created "2016-08-23" @default.
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- W2488570039 date "2016-07-13" @default.
- W2488570039 modified "2023-09-27" @default.
- W2488570039 title "A theory of semiprimitive groups" @default.
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