Conjugacy class lengths of metanilpotent groups
Carlo Casolo, Silvio Dolfi (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On - and -decomposable finite groups”
Conjugacy class lengths of metanilpotent groups
On the number of conjugacy classes in a finite group
Antonio Vera López, Lourdes Ortiz de Elguea (1987)
Extracta Mathematicae
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The Fitting class generated by the -perfect groups
Brison, Owen J. (1990)
Portugaliae mathematica
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More metanilpotent Fitting classes with bounded chief factor ranks
Hermann Heineken (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Wreath products and Fitting classes of S-groups.
J.C. Beidleman, M.J. Tomkinson (1992)
Publicacions Matemàtiques
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Hall pi-subgroups and conjugacy classes
Antonio Vera López, Lourdes Ortiz de Elguea (1989)
Extracta Mathematicae
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On the largest conjugacy class size in a finite group
John Cossey, Trevor Hawkes (2000)
Rendiconti del Seminario Matematico della Università di Padova
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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.