• closedAccess   Invariant class sizes and solvability of finite groups under coprime action 

      Beltrán, Antonio; Sao, Changguo Wiley (2015)
      Suppose that A and G are finite groups of relatively prime orders such that A acts on G via automorphisms, and then, A acts on the set of conjugacy classes of G. We study several arithmetical properties on the sizes of ...
    • closedAccess   Simplicity of normal subgroups and conjugacy class sizes 

      Beltrán, Antonio; Felipe, Maria José Springer (2013)
      Given a finite group G which possesses a non-abelian simple normal subgroup N having exactly four G -class sizes, we prove that N is isomorphic to PSL (2,2a) with a≥2 . Thus, we obtain an extension for normal subgroups of ...