On some permutable products of supersoluble groups.

Alejandre, 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 -