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The p-Huppert-subgroup and the set of p-quasi-superfluous elements in a finite group
Published online by Cambridge University Press: 20 January 2009
Abstract
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Based on the theory of p-supersoluble and supersoluble groups, a prime-number parametrized family of canonical characteristic subgroups Γp(G) and their intersection Γ(G) is introduced in every finite group G and some of its properties are studied. Special interest is dedicated to an elementwise description of the largest p-nilpotent normal subgroup of Γp(G) and of the Fitting subgroup of Γ(G).
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- Copyright © Edinburgh Mathematical Society 1993
References
REFERENCES
1.Bhatia, H. C., A Generalized Frattini Subgroup of a Finite Group (Ph.D. thesis, Michigan State Univ., East Lansing, 1972).Google Scholar
2.Feng, Y.-Q. and Zhang, B.-L., Frattini subgroup relative to formation functions, J. Pure Appl. Algebra 64 (1990), 145–148.CrossRefGoogle Scholar
3.Gaschütz, W., Über die Φ-Untergruppe endlicher Gruppen, Math. Z. 58 (1953), 160–170.CrossRefGoogle Scholar
4.Huppert, B., Endliche Gruppen I (Springer-Verlag, Berlin, Heidelberg, New York, 1967).CrossRefGoogle Scholar
5.Huppert, B., Normalteiler und maximale Untergruppen endlicher Gruppen, Math. Z. (1954), 409–434.CrossRefGoogle Scholar
6.Maier, R., Zur Vertauschbarkeit und Subnormalität von Untergruppen, Arch. Math. (1989), 110–120.CrossRefGoogle Scholar
7.Maier, R., Faktorisierte p-auflösbare Gruppen, Arch. Math. 27 (1976), 576–583.CrossRefGoogle Scholar
8.Ritt, I. F., On algebraic functions which can be expressed in terms of radicals, Trans. Amer. Math.Soc. 24 (1923), 21–30.CrossRefGoogle Scholar
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