Abstract homomorphisms of simple algebraic groups
Robert Steinberg (1972-1973)
Séminaire Bourbaki
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Displaying similar documents to “Complements of Connected Subgroups in Algebraic Groups”
Abstract homomorphisms of simple algebraic groups
Centralizers of semisimple subgroups in locally finite simple groups
M. Kuzucuoğlu (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Some finiteness properties of adele groups over number fields
Armand Borel (1963)
Publications Mathématiques de l'IHÉS
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On the lattice automorphisms of certain simple algebraic groups
Mauro Costantini (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Solitary quotients of finite groups
Marius Tărnăuceanu (2012)
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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.
A splitting theorem for linear polycyclic groups.
Abels, Herbert, Alperin, Roger C. (2009)
The New York Journal of Mathematics [electronic only]
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Direct products with isomorphic lattices
Charles S. Holmes (1971)
Rendiconti del Seminario Matematico della Università di Padova
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On minimal logarithmic signatures of finite groups.
Lempken, Wolfgang, van Trung, Tran (2005)
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Classification of finite groups with many minimal subgroups and with the number of conjugacy classes of G/S(G) equal to 8.
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.