Finite groups with some weakly pronormal subgroups
Abstract A subgroup H of a finite group G is called weakly pronormal in G if there exists a subgroup K of G such that G = H K G=HK and H ∩ K H\cap K is pronormal in G. In this paper, we investigate the structure of the finite groups in which some subgroups are weakly pronormal. Our results improve and generalize many known results.
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 ◽
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pp. 243-246
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2008 ◽
Vol 07
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pp. 735-748
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1986 ◽
Vol 40
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pp. 253-260
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