Ukrainian Mathematical Journal

, Volume 69, Issue 2, pp 331–336 | Cite as

Groups All Cyclic Subgroups of Which are BNA-Subgroups

  • X. He
  • S. Li
  • Y. Wang

Suppose that G is a finite group and H is a subgroup of G. We say that H is a BNA-subgroup of G if either H x = H or x ∈ <H, H x > for all xG. The BNA-subgroups of G are between normal and abnormal subgroups of G. We obtain some new characterizations for finite groups based on the assumption that all cyclic subgroups are BNA-subgroups.


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© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  • X. He
    • 1
  • S. Li
    • 1
  • Y. Wang
    • 2
  1. 1.Department of MathematicsGuangxi UniversityNanningChina
  2. 2.Lingnan College and Department of MathematicsSun Yat-Sen UniversityGuangzhouChina

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