• openAccess   Invariant TI-subgroups and structure of finite groups 

      shao, Changguo; Beltrán, Antonio Elsevier (2020-09-07)
      Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders. Recall that a subgroup H of G is said to be a TI-subgroup if it has trivial intersection with its ...
    • openAccess   New Conditions on Maximal Invariant Subgroups That Imply Solubility 

      Beltrán, Antonio; shao, Changguo Springer (2023)
      Let G be a finite group and assume that a finite group of automorphisms A acts on G, such that the orders of A and G are relatively prime. We prove that the fact of imposing certain conditions on the set of maximal A-invariant ...
    • openAccess   Second Maximal Invariant Subgroups and Solubility of Finite Groups 

      shao, Changguo; Beltrán, Antonio Springer (2022-11-22)
      Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders. We prove that the fact of imposing specific properties on the second maximal A-invariant subgroups ...