On some permutable products of supersoluble groups

• Autores: M.J. Alejandre, M.C. Pedraza, A. Ballester
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 20, Nº 2, 2004, págs. 413-426
• Idioma: inglés
• DOI: 10.4171/rmi/395
• Títulos paralelos:
  • Sobre algunos productos permutables de grupos superresolubles.
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• Resumen

  • It is well known that a group G = AB which is the product of two supersoluble subgroups A and B is not supersoluble in general. Under suitable permutability conditions on A and B, we show that for any minimal normal subgroup N both AN and BN are supersoluble. We then exploit this to establish some sufficient conditions for G to be supersoluble.