This paper identifies a certain class of supersoluble groups (called finitely generated hallsiding groups) which contains the finitely generated nilpotent groups, the metacyclic and the finitely generated soluble T-groups. The main result states that the product of a normal finitely generated hallsiding subgroup and a subnormal supersoluble subgroup is always supersoluble. Some results about products of normal locally supersoluble subgroups are also given. 1991 Mathematics Subject Classification: 20F16, 20E25.
机构:
Mathematics Department, School of Mathematical Science, The Australian National UniversityMathematics Department, School of Mathematical Science, The Australian National University
John COSSEY
Yang Ming LI
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机构:
Department of Mathematics, Guangdong University of EducationMathematics Department, School of Mathematical Science, The Australian National University