Conjugacy class lengths of metanilpotent groups
Carlo Casolo, Silvio Dolfi (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Carlo Casolo, Silvio Dolfi (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Antonio Vera López, Lourdes Ortiz de Elguea (1987)
Extracta Mathematicae
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Hermann Heineken (1997)
Rendiconti del Seminario Matematico della Università di Padova
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J.C. Beidleman, M.J. Tomkinson (1992)
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John Cossey, Trevor Hawkes (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Antonio Vera López, Jesús María Arregi Lizarraga, Francisco José Vera López (1990)
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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.
Khosravi, Behrooz, Khosravi, Behnam (2005)
International Journal of Mathematics and Mathematical Sciences
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