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Group Theory pp 107–114Cite as

On the nilpotence of groups with a certain lattice of normal subgroups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1281)

Keywords

  • Normal Subgroup
  • Soluble Group
  • Commutator Subgroup
  • Nilpotence Class
  • Metabelian Group

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References

  1. R. Brandl — On groups with certain lattices of normal subgroups, Arch. Math., to appear.

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  6. F. de Giovanni — S. Franciosi — Isomorfismi tra reticoli di sottogruppi normali di gruppi nilpotenti senza torsione, Ann. Univ. Ferrara Sc. Mat., 91 (1985), 91–98.

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  9. P. Longobardi — M. Maj — Su alcuni gruppi con il reticolo dei sottogruppi normali isomorfo al reticolo dei sottogruppi normali di un produtto libero, Rend. Mat., 3 (1983), 725–734.

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  11. M. Suzuki — Structure of a group and the structure of its lattice of subgroups, Springer-Verlag, Berlin 1965.

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© 1987 Springer-Verlag

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Longobardi, P., Maj, M. (1987). On the nilpotence of groups with a certain lattice of normal subgroups. In: Kegel, O.H., Menegazzo, F., Zacher, G. (eds) Group Theory. Lecture Notes in Mathematics, vol 1281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078695

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  • DOI: https://doi.org/10.1007/BFb0078695

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18399-0

  • Online ISBN: 978-3-540-47948-2

  • eBook Packages: Springer Book Archive