Formations and -closure in finite groups
James C. Beidleman (1971)
Compositio Mathematica
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James C. Beidleman (1971)
Compositio Mathematica
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Obaid, Evelyn E. (1989)
International Journal of Mathematics and Mathematical Sciences
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John Cossey, Stewart Stonehewer (2011)
Rendiconti del Seminario Matematico della Università di Padova
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J. Łoś (1957)
Fundamenta Mathematicae
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Jiří Parobek (1976)
Časopis pro pěstování matematiky
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Zhi-Wei Sun (1990)
Fundamenta Mathematicae
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Marc Berger, Alexander Felzenbaum, Aviezri Fraenkel (1987)
Fundamenta Mathematicae
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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.