## The hypercenter of a finite group.(English)Zbl 0363.20020

### MSC:

 20D15 Finite nilpotent groups, $$p$$-groups
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### References:

 [1] Baer, R, Group elements of prime power order, Trans. amer. math. soc., 75, 20-47, (1953) · Zbl 0051.25702 [2] Glauberman, G, Central elements in core-free groups, J. algebra, 4, 403-420, (1966) · Zbl 0145.02802 [3] Glauberman, G, Weakly closed elements of Sylow subgroups, Math. Z., 107, 1-20, (1968) · Zbl 0172.03002 [4] Hall, M, The theory of groups, (1959), Macmillan New York [5] Huppert, B, Endliche gruppen I, (1967), Springer-Verlag Berlin/Heidelberg · Zbl 0217.07201 [6] Peng, T.A, Normal p-subgroups of finite groups, J. London math. soc., 8, 161-167, (1974) · Zbl 0282.20014 [7] Shult, E, Some analogues of Glauberman’s Z^{∗}-theorem, (), 1186-1190 · Zbl 0145.02803
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