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Totally Permutable Products of Finite Groups Satisfying SC or PST
Authors:Adolfo Ballester-Bolinches  John Cossey
Institution:(1) Universitat de València, Spain;(2) The Australian National University, Canberra, Australia
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.
Keywords:2000 Mathematics Subject Classifications: 20D10  20D20  20D35  20D40
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