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  1. No Access

    Article

    On Cyclic Actions of Finite Groups

    Let A act on a group G. A is said to act p-cyclically on G if \(A^{{\mathfrak {N}}_p {\mathfrak {A}}_{p-1}}\) ...

    Lü Gong, Qilin Chen, Baojun Li in Mediterranean Journal of Mathematics (2024)

  2. No Access

    Article

    On G-power automorphisms of the nilpotent residual of a finite group

    Let \(G^\mathfrak {N}\) G N be the ni...

    Lü Gong, Yu Han, Baojun Li in Ricerche di Matematica (2022)

  3. No Access

    Article

    On f-Hypercentral Actions of Finite Group

    Let f be a formation function and G an A-group. It is said that A acts f-hypercentrally on G if A acts f-centrally on every A-composition factor of G. In this paper, groups are investigated by f-hypercentral acti...

    Baojun Li, Lü Gong in Communications in Mathematics and Statistics (2021)

  4. No Access

    Article

    Normalizers of nilpotent residuals

    Let M be a subgroup of a finite group G, and suppose that M normalizes the nilpotent residual \(H^\infty \) ...

    Lü Gong, I. M. Isaacs in Archiv der Mathematik (2017)

  5. No Access

    Article

    On Normalizers of the Nilpotent Residuals of Subgroups of a Finite Group

    The aim of this paper is to study the structure of finite groups whose nilpotent residuals of non-normal subgroups are normal.

    Lü Gong, **uyun Guo in Bulletin of the Malaysian Mathematical Sciences Society (2016)

  6. No Access

    Article

    A note on the size of the nilpotent residual in finite groups

    In this note it is proved that \({|G : Z(G)| < |G^\prime| \cdot |G^\mathcal{N}|}\) if G is a finite non-abelian grou...

    **uyun Guo, Lü Gong in Archiv der Mathematik (2012)