Finite groups having nonnormal T.I. subgroups
2018 ◽
Vol 28
(05)
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pp. 905-914
In the present paper, the structure of a finite group [Formula: see text] having a nonnormal T.I. subgroup [Formula: see text] which is also a Hall [Formula: see text]-subgroup is studied. As a generalization of a result due to Gow, we prove that [Formula: see text] is a Frobenius complement whenever [Formula: see text] is [Formula: see text]-separable. This is achieved by obtaining the fact that Hall T.I. subgroups are conjugate in a finite group. We also prove two theorems about normal complements one of which generalizes a classical result of Frobenius.
1987 ◽
Vol 105
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pp. 147-151
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1969 ◽
Vol 10
(3-4)
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pp. 359-362
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2021 ◽
Vol 58
(2)
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pp. 147-156
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1997 ◽
Vol 40
(2)
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pp. 243-246
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2008 ◽
Vol 07
(06)
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pp. 735-748
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1986 ◽
Vol 40
(2)
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pp. 253-260
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