On $\mathfrak{F}_n$-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
2008 ◽
Vol 01
(04)
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pp. 619-629
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Keyword(s):
Let G be a finite group and denote a formation of finite groups by [Formula: see text]. We call a subgroup H of G[Formula: see text]-supplemented in G if there exists a normal subgroup K of G such that G = HK and (H ∩ K)HG/HG is contained in the [Formula: see text]-hypercenter [Formula: see text] of G/HG. In this paper, we use [Formula: see text]-supplemented subgroups to study the structure of finite groups. Some known results in the literature are generalized.
1969 ◽
Vol 10
(3-4)
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pp. 359-362
1997 ◽
Vol 40
(2)
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pp. 243-246
Keyword(s):
2008 ◽
Vol 01
(03)
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pp. 369-382
Keyword(s):
2019 ◽
Vol 19
(05)
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pp. 2050093
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Keyword(s):
2017 ◽
Vol 2017
(732)
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pp. 247-253
2016 ◽
Vol 15
(03)
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pp. 1650053
Keyword(s):
2011 ◽
Vol 53
(2)
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pp. 401-410
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Keyword(s):
2013 ◽
Vol 12
(04)
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pp. 1350002
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