SE-supplemented subgroups of finite groups
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Wenbin Guo, Alexander N. Skiba, Nanying Yang (2013)
Rendiconti del Seminario Matematico della Università di Padova
M.J. Iranzo, J. Medina, F. Pérez-Monasor (2002)
Revista Matemática Iberoamericana
In this paper we will prove that if G is a finite group, X a subnormal subgroup of X F*(G) such that X F*(G) is quasinilpotent and Y is a quasinilpotent subgroup of NG(X), then Y F*(NG(X)) is quasinilpotent if and only if Y F*(G) is quasinilpotent. Also we will obtain that F*(G) controls its own fusion in G if and only if G = F*(G).
Alma D’Aniello (1984)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
In this paper we study the class of finite groups whose nilpotent residual is a Hall subgroup having all subgroups normal in .
Mysovskikh, V.I., Skopin, A.I. (2002)
Zapiski Nauchnykh Seminarov POMI
Irene Zimmermann (1989)
Mathematische Zeitschrift
James Beidleman, Mathew Ragland (2011)
Open Mathematics
The purpose of this paper is to study the subgroup embedding properties of S-semipermutability, semipermutability, and seminormality. Here we say H is S-semipermutable (resp. semipermutable) in a group Gif H permutes which each Sylow subgroup (resp. subgroup) of G whose order is relatively prime to that of H. We say H is seminormal in a group G if H is normalized by subgroups of G whose order is relatively prime to that of H. In particular, we establish that a seminormal p-subgroup is subnormal....
Peter Schmid (1970)
Mathematische Zeitschrift
Dietrich Bartels (1977)
Mathematische Zeitschrift
Mysovskikh, V.I. (2002)
Zapiski Nauchnykh Seminarov POMI
Otto H. Kegel (1962)
Mathematische Zeitschrift
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