Abstract: We classify the 2-dual minimal non supersoluble groups, whose factor groups satisfy the converse of the Lagrange’s theorem. From this classification we de- duce that there is no upper bound for the 3-rank, as for the 2-rank, of a group with lagrangian factor groups. We conjecture that the groups with lagrangian factor groups are p-supersoluble, for each prime p ≠ 2, 3.

Groups with Lagrangian quotients

DE VIVO, CLORINDA;GIORDANO, GABRIELE;TUCCILLO, FERNANDO
1984

Abstract

Abstract: We classify the 2-dual minimal non supersoluble groups, whose factor groups satisfy the converse of the Lagrange’s theorem. From this classification we de- duce that there is no upper bound for the 3-rank, as for the 2-rank, of a group with lagrangian factor groups. We conjecture that the groups with lagrangian factor groups are p-supersoluble, for each prime p ≠ 2, 3.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/142935
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