On groups with countably many maximal subgroups

A comprehensive account is given of the theory of metanilpotent groups with the minimal condition on normal subgroups. After reviewing classical material, many new results are established relating to the Fitting subgroup, the Hirsch–Plotkin radical, the Frattini subgroup, splitting and conjugacy, the Schur multiplier, Sylow structure and the maximal subgroups. Module theoretic and homological methods are used throughout.

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On groups with countably many maximal subgroups

Cited by 2 publications

References 12 publications

On groups that are dominated by countably many proper subgroups

On groups that are dominated by countably many proper subgroups

On metanilpotent groups satisfying the minimal condition on normal subgroups

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