• openAccess   Finite p-solvable groups with three p-regular conjugacy class sizes 

      Beltrán, Antonio; Felipe, Maria José; Akhlaghi, zeinab; Khatami, Maryam Edinburgh Mathematical Society (2013)
      Let G be a finite p-solvable group. We describe the structure of the p-complements of G when the set of p-regular conjugacy classes has exactly three class sizes. For instance, when the set of p-regular class sizes of G ...
    • closedAccess   Normal subgroups and p-regular G-class sizes. 

      Beltrán, Antonio; Akhlaghi, zeinab; Felipe, Maria José; Khatami, Maryam © 2011 Elsevier (2011-06)
      Let G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regular elements of N have exactly two G-conjugacy class sizes. In this paper it is shown that, if H is a p-complement of N, then either ...
    • closedAccess   Structure of normal subgroups with three G-class sizes 

      Beltrán, Antonio; Felipe, Maria José; Akhlaghi, zeinab; Khatami, Maryam Springer-Verlag (2012)
      Let G be a finite group and N be a normal subgroup of G. Suppose that the set of G-conjugacy class sizes of N is {1, m, n}, with m < n and m does not divide n. In this paper, we show that N is solvable, and we determine ...