Abstract
It is shown that in an arbitrary finite groupG, any two maximal nilpotent subgroups ofG whose intersection contains its own centralizer inG, are conjugate inG.
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References
Z. Arad and D. Chillag,Injectors of finite solvable groups, Commun. Algebra7(2) (1979), 115–138.
A. Bialostocki,Nilpotent injectors, in symmetric groups, Isr. J. Math.41 (1982), 261–273.
G. Glauberman,On Burnside’s other p n qβ theorem Pacific J. Math.56 (1975), 469–476.
A. Mann,Injectors and normal subgroups of finite groups, Isr. J. Math.9 (1971), 554–558.
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Lausch, H. Conjugacy classes of maximal nilpotent subgroups. Israel J. Math. 47, 29–31 (1984). https://doi.org/10.1007/BF02760560
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DOI: https://doi.org/10.1007/BF02760560