Finite groups with given quantitative surpersoluble subgroups
2019 ◽
Vol 19
(04)
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pp. 2050077
The solubility of a finite group with less than [Formula: see text] supersoluble subgroups is confirmed in this paper. Moreover, we prove that a finite insoluble group has exactly [Formula: see text] supersoluble subgroups if and only if it is isomorphic to [Formula: see text]. Furthermore, it is shown that a finite group with less than [Formula: see text] conjugacy classes of supersoluble subgroups is soluble, and the only finite insoluble group with [Formula: see text] conjugacy classes of supersoluble subgroups is isomorphic to [Formula: see text].
2018 ◽
Vol 97
(3)
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pp. 406-411
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2016 ◽
Vol 15
(03)
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pp. 1650057
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2012 ◽
Vol 153
(2)
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pp. 281-318
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2015 ◽
Vol 14
(04)
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pp. 1550057
1987 ◽
Vol 30
(1)
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pp. 7-22
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2014 ◽
Vol 13
(08)
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pp. 1450067
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