On the structure of finite groups whose non-normal subgroups are core-free.

Authors

  • L.A. Kurdachenko Department of Geometry and Algebra, Oles Honchar Dnipro National University, Dnipro, Ukraine
  • A.A. Pypka Department of Geometry and Algebra, Oles Honchar Dnipro National University, Dnipro, Ukraine
  • I.Ya. Subbotin Department of Mathematics and Natural Sciences, National University, LA, USA

Abstract

On the structure of finite groups whose non-normal subgroups are core-free.

References

M. De Falco, L.A. Kurdachenko, I.Ya. Subbotin, Groups with only abnormal and subnormal subgroups, Atti Sem. Mat. Fis. Univ. Modena. 46 (1998), 435–442.

L. Zhao, Y. Li, L. Gong, Finite groups in which the cores of every non-normal subgroups are trivial, Publ. Math. Debrecen. 93 (2018), no. 3–4, 511–516.

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