Abstract.
Finite groups G=AB factorized by two subgroups A and B such that every subgroup of A permutes with every subgroup of B are studied in this paper. The behaviour of such products with respect to the class of finite groups in which Sylow-permutability is transitive is analyzed.
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Ballester-Bolinches, A., Cossey, J. Totally Permutable Products of Finite Groups Satisfying SC or PST. Mh Math 145, 89–94 (2005). https://doi.org/10.1007/s00605-004-0263-9
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DOI: https://doi.org/10.1007/s00605-004-0263-9