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.
Original language | English |
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Pages (from-to) | 413-425 |
Number of pages | 13 |
Journal | Revista Matematica Iberoamericana |
Volume | 20 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2004 |