Some results on -groups
Mohammad Reza Darafsheh, H. Sharifi (2007)
Mathematica Slovaca
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Mohammad Reza Darafsheh, H. Sharifi (2007)
Mathematica Slovaca
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Amin Saeidi (2014)
Open Mathematics
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In this note, we study finite groups possessing exactly one nonlinear non-faithful irreducible character. Our main result is to classify solvable groups that satisfy this property. Also, we give examples to show that these groups need not to be solvable in general.
Wolfgang Kimmerle, Robert Sandling (1992)
Publicacions Matemàtiques
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The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.
Mario Mainardis (1998)
Bollettino dell'Unione Matematica Italiana
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Si determinano i gruppi finiti il cui insieme parzialmente ordinato delle classi di coniugio dei sottogruppi è isomorfo a quello di un gruppo abeliano.
A. Abdollahi, A. Mohammadi Hassanabadi (2004)
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.