Open AccessOn some permutable products of supersoluble groups
Author(s) -
Manuel J. Alejandre,
A. BallesterBolinches,
John Cossey,
M. C. Pedraza-Aguilera
Publication year - 2004
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/395
Subject(s) - permutable prime , business , mathematics , combinatorics
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.
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