Simple group contain minimal simple groups.

Michael J. J. Barry; Michael B. Ward

Displaying similar documents to “Simple group contain minimal simple groups.”

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.

On minimal logarithmic signatures of finite groups.

Lempken, Wolfgang, van Trung, Tran (2005)

Experimental Mathematics

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Minimal pure subgroups in primary groups

P. Hill, C. Megibben (1964)

Bulletin de la Société Mathématique de France

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A note on a paper of Bernard Charles («Étude sur les sous-groupes d'un groupe abélien»)

Ch. Megibben (1963)

Bulletin de la Société Mathématique de France

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Remarks on a problem in primary abelian groups

T.J. Head (1963)

Bulletin de la Société Mathématique de France

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Bases of certain finite groups

Raffaele Scapellato, Libero Verardi (1994)

Annales mathématiques Blaise Pascal

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On minimal conditions related to Miller-Moreno type groups

Brunella Bruno, Richard E. Phillips (1983)

Rendiconti del Seminario Matematico della Università di Padova

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Factorizations of some Groups of Lie Type of Lie Rank 4 Факторизации на някои групи от лиев тип и лиев ранг 4

Gentcheva, Elenka, Gentchev, Tsanko (2010)

Union of Bulgarian Mathematicians

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Еленка Генчева, Цанко Генчев В настоящата работа се разглеждат крайни прости групи G , които могат да се представят като произведение на две свои собствени неабелеви прости подгрупи A и B. Всяко такова представяне G = AB е прието да се нарича факторизация на G, а тъй като множителите A и B са избрани да бъдат прости подгрупи на G, то разглежданите факторизации са известни още като прости факторизации на G. Тук се предполага, че G е проста група от лиев тип и лиев ранг 4 над крайно поле...