Abstract homomorphisms of simple algebraic groups
Robert Steinberg (1972-1973)
Séminaire Bourbaki
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Robert Steinberg (1972-1973)
Séminaire Bourbaki
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M. Kuzucuoğlu (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Armand Borel (1963)
Publications Mathématiques de l'IHÉS
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Mauro Costantini (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Marius Tărnăuceanu (2012)
Open Mathematics
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We introduce and study the lattice of normal subgroups of a group G that determine solitary quotients. It is closely connected to the well-known lattice of solitary subgroups of G, see [Kaplan G., Levy D., Solitary subgroups, Comm. Algebra, 2009, 37(6), 1873–1883]. A precise description of this lattice is given for some particular classes of finite groups.
Abels, Herbert, Alperin, Roger C. (2009)
The New York Journal of Mathematics [electronic only]
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Charles S. Holmes (1971)
Rendiconti del Seminario Matematico della Università di Padova
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Lempken, Wolfgang, van Trung, Tran (2005)
Experimental Mathematics
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Antonio Vera López, Jesús María Arregi Lizarraga, Francisco José Vera López (1990)
Collectanea Mathematica
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In this paper we classify all the finite groups satisfying r(G/S(G))=8 and ß(G)=r(G) - a(G) - 1, where r(G) is the number of conjugacy classes of G, ß(G) is the number of minimal normal subgroups of G, S(G) the socle of G and a(G) the number of conjugacy classes of G out of S(G). These results are a contribution to the general problem of the classification of the finite groups according to the number of conjugacy classes.