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- W2106804908 abstract "Suppose denotes a -subgroup of order of a group which is different from its normalizer in . A criterion for the simplicity of a group is obtained which includes the theorems of Feit and Ito on Zassenhaus groups of even degree and which is used to prove the followingTheorem. If and the order of the centralizer of each nonidentity element of in is odd, then . It is proved that if has a complement in and if does not divide , then has a nilpotent invariant complement in , and if is complemented by a Frobenius subgroup in the simple group , then , . Related to the results of Brauer, Leonard, and Sibley on finite linear groups is the followingTheorem. If the degree of each irreducible constituent of some faithful complex character of is less than , then either or , . Other results connected with the above theorems are also obtained.Bibliography: 24 titles." @default.
- W2106804908 created "2016-06-24" @default.
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- W2106804908 date "1980-04-30" @default.
- W2106804908 modified "2023-10-18" @default.
- W2106804908 title "FINITE GROUPS WITH A FROBENIUS SUBGROUP" @default.
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- W2106804908 doi "https://doi.org/10.1070/sm1980v036n04abeh001888" @default.
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