Abstract
In this paper we study the influence of the partial cover and avoidance property on the subgroups of some relevant families of subgroups in a finite group.
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Doerk, K., Hawkes, T.: Finite Soluble Groups, Walter de Gruyter, Berlin-New York, 1992
Gaschütz, W.: Prefrattinigruppen. Arch. Math., 13, 418–426 (1962)
Ezquerro, L. M.: A contribution to the theory of finite supersolvable groups. Rend. Sem. Mat. Univ. Padova, 89, 161–170 (1993)
Fan, Y., Guo, X., Shum, K. P.: Remarks on two generalizations of normality of subgroups. Chinese J. Contemp. Math., 27, 139–146 (2006)
Guo, X., Wang, J. X., Shum, K. P.: On Semi-Cover-Avoiding Maximal subgroups and Solvability of Finite Groups. Comm. Algebra, 34, 3235–3244 (2006)
Guo, X., Guo, P., Shum, K. P.: On semi cover-avoiding subgroups of finite groups. J. Pure and Applied Algebra, 209, 151–158 (2007)
Guo, X. Y., Wang, L. L.: On finite groups with some semi cover-avoiding subgroups. Acta Mathematica Sinica, English Series, 23, 1689–1696 (2007)
Wang, Y. M.: C-normality of groups and its properties. J. Algebra, 180, 954–965 (1996)
Johnson, D. L.: A note on supersoluble groups. Can. J. Math., 23, 562–564 (1971)
Ballester-Bolinches, A., Ezquerro, L. M.: Classes of Finite Groups, Springer, Dordrecht, 2006
Huppert, B.: Endliche Gruppen I, Die Grundlehren der Mathematischen Wissenschaften 134 Springer-Verlag, Berlin-New York, 1967
Lafuente, J., Martínez-Pérez, C.: p-Constrainedness and Frattini chief factors. Arch. Math., 75, 241–246 (2000)
Huppert, B., Blackburn, N.: Finite Groups III, Grundlehren der Mathematischen Wissenschaften 243, Springer-Verlag, Berlin-New York, 1982
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Dedicated to Prof. L. A. Shemetkov on occasion of his 70th birthday
The first and the second authors are partially supported by Proyecto MTM 2007-68010-C03-02 and MTM 2007-68010-C03-01, respectively, of Ministerio de Educación y Ciencia of Spain
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Ballester-Bolinches, A., Ezquerro, L.M. & Skiba, A.N. Local embeddings of some families of subgroups of finite groups. Acta. Math. Sin.-English Ser. 25, 869–882 (2009). https://doi.org/10.1007/s10114-009-8623-4
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DOI: https://doi.org/10.1007/s10114-009-8623-4