References
P. Hall, Some sufficient conditions for a group to be nilpotent. Illinois J. Math.2, 787–801 (1958).
J. C. Lennox, On groups in which every subgroup is almost subnormal. J. London Math. Soc. (2)15, 221–231 (1977).
J. C. Lennox, Joins of almost subnormal subgroups. Proc. Edinburgh Math. Soc.22, 33–34 (1979).
B. H. Neumann, Groups with finite classes of conjugate subgroups. Math. Z.63, 76–96 (1955).
J. E. Roseblade, The derived series of a join of subnormal subgroups. Math. Z.117, 57–69 (1970).
J. E. Roseblade andS. E. Stonehewer, Subjunctive and locally coalescent classes of groups. J. Algebra8, 423–435 (1968).
H. Smith, Hypercentral groups with all subgroups subnormal. Bull. London Math. Soc.15, 229–234 (1983).
H. Smith, Commutator subgroups of a join of subnormal subgroups. Arch. Math.41, 193–198 (1983).
H. Smith, On certain subgroups of a join of subnormal subgroups. Glasgow Math. J.25, 103–105 (1984).
H. Smith, Groups with the subnormal join property. Canadian J. Math.37, 1–16 (1985).
H. Smith, The lower central series in some groups with the subnormal join property. Proc. Amer. Math. Soc.94, 585–588 (1985).
H. Smith, Group-theoretic properties inherited by lower central factors. Glasgow J. Math.29, 89–91 (1987).
J. P. Williams, The join of several subnormal subgroups. Math. Proc. Cambridge Philos. Soc.92, 391–399 (1982).
J. P. Williams, Conditions for subnormality of a join of subnormal subgroups. Math. Proc. Cambridge Philos. Soc.92, 401–417 (1982).
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Smith, H. Joins of almost subnormal subgroups. Arch. Math 53, 105–109 (1989). https://doi.org/10.1007/BF01198558
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DOI: https://doi.org/10.1007/BF01198558