On finite soluble groups in which Sylow permutability is a transitive relation

This paper has been published by Springer-Verlag and Akadémiai Kiadó in Acta Mathematica Hungarica, 101(3):193-202 (2003). The final publication is available at http://www.springerlink.com http://dx.doi.org/10.1023/B:AMHU.0000003903.71033.fcA characterisation of finite soluble groups in which Sylow permutability is a transitive relation by means of subgroup embedding properties enjoyed by all the subgroups is proved in the paper. The key point is an extension of a subnormality criterion due to Wielandt.http://dx.doi.org/10.1023/B:AMHU.0000003903.71033.fcBallester Bolinches, A.; Esteban Romero, R. (2003). On finite soluble groups in which Sylow permutability is a transitive relation. 3(101). doi:10.1023/B:AMHU.0000003903.71033.fc310