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. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - STAMPA. - XXXIII:1(1984), pp. 121-131.
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.File in questo prodotto:
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