Finite Groups with Normal Normalizers
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1256-1260

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We say that a finite group G has property N if the normalizer of every subgroup of G is normal in G. Such groups are nilpotent since every Sylow subgroup is normal (the normalizer of a Sylow subgroup is its own normalizer). Thus it is sufficient to study p-groups which have property N. Note that property N is inherited by subgroups and factor groups.
Hobby, C. Finite Groups with Normal Normalizers. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1256-1260. doi: 10.4153/CJM-1968-121-8
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[1] 1. Burnside, W., On groups in which every two conjugate operations are permutable, Proc. London Math. Soc. 35 (1902), 28–37. Google Scholar

[2] 2. Hall, M., The theory of groups (Macmillan, New York, 1959). Google Scholar

[3] 3. Hall, P., A contribution to the theory of groups of prime-power order, Proc. London Math. Soc. (2) 36 (1933), 29–95. Google Scholar

[4] 4. Hall, P., On a theorem of Frobenius, Proc. London Math. Soc. (2) 4-0 (1935), 468–501. Google Scholar

[5] 5. Hobby, C., A characteristic subgroup of a p-group, Pacific J. Math. 10 (1960), 853–858. Google Scholar

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