Large subgroups of almost nilpotent groups

Authors

  • М. J. Tomkinson Univ. Glasgow, Scotland

Keywords:

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Abstract

The main result is theorem which states that any major subgroup M of nilpotent-by-finite group G contains derived subgroups of all normal nilpotent subgroups of finite index in G and that G/MG is a Chernikov group.

References

Tomkinson M. J. A. Frattini-like subgroup// Math. Proc. Cambridge Phil. Soc.— 1975.— 77, N 2.— P. 247—257.

Tomkinson M. J. Supersolubility conditions and a Frattini-like subgroup//Quart. J. Math.— 1978.— 29, N 1.— P. 93—99.

Tomkinsan M. J. Finiteness conditions and a Frattini-like subgroup // Rend Circ. mat. Palermo.— 1990.— 23— P. 321—335.

Tomkinson N1. J. FC-nilpotent groups and a Frattini-like subgroup.— To appear.

Robinson D. J. S. Finiteness conditions and generalized soluble groups: In 2 pt.— Berlin etc.: Springer, 1972.— Pt. 1.— 210 p.

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Published

07.07.1992

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Section

Short communications