Finite groups in which -quasinormality is a transitive relation
Vladimir O. Lukyanenko, Alexander N. Skiba (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Vladimir O. Lukyanenko, Alexander N. Skiba (2010)
Rendiconti del Seminario Matematico della Università di Padova
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A. D'Aniello, C. De Vivo, G. Giordano (2002)
Bollettino dell'Unione Matematica Italiana
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We prove that are primitive the finite groups whose normalizers of the Sylow subgroups are primitive. We classify the groups of such class, denoted by , and we study the Schunck classes whose boundary is contained in . We give also necessary and sufficient conditions in order that the projectors be subnormally embedded.
Charles Holmes (1989)
Rendiconti del Seminario Matematico della Università di Padova
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Carlo Casolo (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Carlo Casolo, Silvio Dolfi (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Carlo Casolo (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Rolf Brandl, Libero Verardi (1992)
Rendiconti del Seminario Matematico della Università di Padova
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James Beidleman, Mathew Ragland (2011)
Open Mathematics
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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...