A NOTE ON NORMAL COMPLEMENTS FOR FINITE GROUPS
2018 ◽
Vol 98
(1)
◽
pp. 109-112
Keyword(s):
Assume that $G$ is a finite group and $H$ is a 2-nilpotent Sylow tower Hall subgroup of $G$ such that if $x$ and $y$ are $G$-conjugate elements of $H\cap G^{\prime }$ of prime order or order 4, then $x$ and $y$ are $H$-conjugate. We prove that there exists a normal subgroup $N$ of $G$ such that $G=HN$ and $H\cap N=1$.
2012 ◽
Vol 49
(3)
◽
pp. 390-405
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Keyword(s):
1969 ◽
Vol 10
(3-4)
◽
pp. 359-362
1997 ◽
Vol 40
(2)
◽
pp. 243-246
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2008 ◽
Vol 01
(03)
◽
pp. 369-382
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2019 ◽
Vol 19
(05)
◽
pp. 2050093
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Keyword(s):
2017 ◽
Vol 2017
(732)
◽
pp. 247-253
2016 ◽
Vol 15
(03)
◽
pp. 1650053
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