# On some permutable products of supersoluble groups.

Manuel J. Alejandre; A. Ballester-Bolinches; John Cossey; M. C. Pedraza-Aguilera

Revista Matemática Iberoamericana (2004)

- Volume: 20, Issue: 2, page 413-425
- ISSN: 0213-2230

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topAlejandre, Manuel J., et al. "On some permutable products of supersoluble groups.." Revista Matemática Iberoamericana 20.2 (2004): 413-425. <http://eudml.org/doc/39719>.

@article{Alejandre2004,

abstract = {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.},

author = {Alejandre, Manuel J., Ballester-Bolinches, A., Cossey, John, Pedraza-Aguilera, M. C.},

journal = {Revista Matemática Iberoamericana},

keywords = {Grupos resolubles finitos; Subgrupos; Productos; finite groups; permutable products; subnormal subgroups; supersolubility},

language = {eng},

number = {2},

pages = {413-425},

title = {On some permutable products of supersoluble groups.},

url = {http://eudml.org/doc/39719},

volume = {20},

year = {2004},

}

TY - JOUR

AU - Alejandre, Manuel J.

AU - Ballester-Bolinches, A.

AU - Cossey, John

AU - Pedraza-Aguilera, M. C.

TI - On some permutable products of supersoluble groups.

JO - Revista Matemática Iberoamericana

PY - 2004

VL - 20

IS - 2

SP - 413

EP - 425

AB - 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.

LA - eng

KW - Grupos resolubles finitos; Subgrupos; Productos; finite groups; permutable products; subnormal subgroups; supersolubility

UR - http://eudml.org/doc/39719

ER -