CHARACTERIZATIONS OF FINITE GROUPS WITH p-FUSION OF SQUAREFREE TYPE
نویسندگان
چکیده
For G a finite group and p a prime this paper proves two theorems under hypotheses that restrict the index of the subgroup generated by every p-element x in certain subgroups generated by pairs of its conjugates. Under one set of hypotheses G is shown to be supersolvable. Simple groups satisfying a complementary fusion-theoretic hypothesis are classified.
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