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A note on cosubnormal subgroups

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Abstract

Two subgroupsH andK of a groupG are called cosubnormal if they are both subnormal in the subgroup generated by them. In this paper some subnormality criteria for cosubnormal subgroups of nilpotent-by-abelian groups are given.

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References

  1. Groves J.R.J.,Soluble groups with every proper quotient polycyclic, Illinois J. Math.22 (1978), 90–95.

    MATH  MathSciNet  Google Scholar 

  2. Kegel O.H.,Über den Normalisator von subnormalen und erreichbaren Untergruppen, Math. Ann.163 (1966), 248–258.

    Article  MATH  MathSciNet  Google Scholar 

  3. Robinson D.J.S.,On the theory of subnormal subgroups, Math. Z.89 (1965), 30–51.

    Article  MATH  MathSciNet  Google Scholar 

  4. Robinson, D.J.S.,A theorem on finitely generated hyperabelian groups, Invent. Math10, (1970), 38–43.

    Article  MATH  MathSciNet  Google Scholar 

  5. Robinson D.J.S.,Finiteness Conditions and Generalized Soluble Groups, Springer, Berlin, 1972.

    Google Scholar 

  6. Roseblade J. E.,On certain subnormal coalition classes, J. Algebra1 (1964), 132–138.

    Article  MATH  MathSciNet  Google Scholar 

  7. Wielandt H.,Vertauschbare nachinvariante Untergruppen, Abh. Math. Sem. Univ. Hamburg21 (1957), 55–62.

    Article  MATH  MathSciNet  Google Scholar 

  8. Wielandt H.,Über das Erzeugnis paarweise Kosubnormaler Untergruppen, Arch. Math. (Basel)35 (1980), 1–7.

    MATH  MathSciNet  Google Scholar 

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Franciosi, S., De Giovanni, F. A note on cosubnormal subgroups. Rend. Circ. Mat. Palermo 35, 466–471 (1986). https://doi.org/10.1007/BF02843914

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  • DOI: https://doi.org/10.1007/BF02843914

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