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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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