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Joins of almost subnormal subgroups

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References

  1. P. Hall, Some sufficient conditions for a group to be nilpotent. Illinois J. Math.2, 787–801 (1958).

    Google Scholar 

  2. J. C. Lennox, On groups in which every subgroup is almost subnormal. J. London Math. Soc. (2)15, 221–231 (1977).

    Google Scholar 

  3. J. C. Lennox, Joins of almost subnormal subgroups. Proc. Edinburgh Math. Soc.22, 33–34 (1979).

    Google Scholar 

  4. B. H. Neumann, Groups with finite classes of conjugate subgroups. Math. Z.63, 76–96 (1955).

    Google Scholar 

  5. J. E. Roseblade, The derived series of a join of subnormal subgroups. Math. Z.117, 57–69 (1970).

    Google Scholar 

  6. J. E. Roseblade andS. E. Stonehewer, Subjunctive and locally coalescent classes of groups. J. Algebra8, 423–435 (1968).

    Google Scholar 

  7. H. Smith, Hypercentral groups with all subgroups subnormal. Bull. London Math. Soc.15, 229–234 (1983).

    Google Scholar 

  8. H. Smith, Commutator subgroups of a join of subnormal subgroups. Arch. Math.41, 193–198 (1983).

    Google Scholar 

  9. H. Smith, On certain subgroups of a join of subnormal subgroups. Glasgow Math. J.25, 103–105 (1984).

    Google Scholar 

  10. H. Smith, Groups with the subnormal join property. Canadian J. Math.37, 1–16 (1985).

    Google Scholar 

  11. H. Smith, The lower central series in some groups with the subnormal join property. Proc. Amer. Math. Soc.94, 585–588 (1985).

    Google Scholar 

  12. H. Smith, Group-theoretic properties inherited by lower central factors. Glasgow J. Math.29, 89–91 (1987).

    Google Scholar 

  13. J. P. Williams, The join of several subnormal subgroups. Math. Proc. Cambridge Philos. Soc.92, 391–399 (1982).

    Google Scholar 

  14. J. P. Williams, Conditions for subnormality of a join of subnormal subgroups. Math. Proc. Cambridge Philos. Soc.92, 401–417 (1982).

    Google Scholar 

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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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