About the finite groups whose minimal normal subgroups are union of two conjugacy classes exactly |
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| Authors: | Antonio Vera López Juan Vera López |
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| Affiliation: | (1) Present address: Facultad de Ciencias, Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, Bilbao, Spain;(2) Present address: Instituto Nacional de Bachillerato Cura Valera Huercal, Overa Almeria, Spain |
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| Abstract: | Summary In this paper we classify all the finite groups G satisfying  (G)=r(G) —  (G) - 1 where r(G) is the number of conjugacy classes of G, (G) the number of minimal normal subgroups of G, S(G) the socle of G and (G) the number of conjugacy classes of G out of S(G), and such that ¦G/S(G)¦ is divisible for at most three prime numbers. |
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