On the normalizers of p-nilpotency-residuals of all subgroups in a finite group
2015 ◽
Vol 14
(10)
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pp. 1550146
Let G be a finite group. We define the subgroup N𝒩p(G) to be the intersection of the normalizers of the p-nilpotent residuals of all subgroups of G for a prime p. We first investigate the properties of N𝒩p(G), and then study the relationship between ⋂p‖G∣N𝒩p(G) and N𝒩(G), where N𝒩(G) is the intersection of the normalizers of the nilpotent residuals of all subgroups of G.
1976 ◽
Vol 79
(3)
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pp. 433-441
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2012 ◽
Vol 153
(2)
◽
pp. 281-318
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1993 ◽
Vol 123
(2)
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pp. 295-301
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1958 ◽
Vol 9
(4)
◽
pp. 655-655
2014 ◽
Vol 66
(6)
◽
pp. 1201-1224
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