Groups with Polycyclic Non-Normal Subgroups
Copyright policy )Groups with Polycyclic Non-Normal Subgroups
The article under review is dedicated to groups in which all non-normal subgroups are soluble with finite section rank, soluble with finite Prüfer rank, soluble minimax, polycylic, and so on. The main results are very close by spirit and methods of proofs to the main results of the following articles, not mentioned among the references, \textit{L. A. Kurdachenko} and \textit{V. E. Goretskij}, Ukr. Mat. Zh. 41, No. 12, 1705-1709 (1989; Zbl 0743.20027); \textit{G. Cutolo}, Riv. Mat. Pura Appl. 9, 49-59 (1991; Zbl 0751.20022); and \textit{G. Cutolo} and \textit{L. A. Kurdachenko}, Geom. Dedicata 55, No. 3, 279-292 (1995; Zbl 0835.20039).
- University of Galway Ireland
- University Federico II of Naples Italy
General structure theorems for groups, polycylic groups, non-normal subgroups, Solvable groups, supersolvable groups, Chains and lattices of subgroups, subnormal subgroups, soluble minimax groups
General structure theorems for groups, polycylic groups, non-normal subgroups, Solvable groups, supersolvable groups, Chains and lattices of subgroups, subnormal subgroups, soluble minimax groups
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