• closedAccess   Nilpotent and Abelian Hall Subgroups in Fintie Groups 

      Beltrán, Antonio; Felipe, Maria José; Malle, Gunter; Moretó, Alexander; Navarro, Gabriel; Sanus, Lucia; Solomon, Ronald; Tiep, Pham Huu American Mathematical Society (2015-07)
      We give a characterization of the finite groups having nilpotent or abelian Hall π-subgroups that can easily be verified using the character table.
    • openAccess   Order of products of elements in finite groups 

      Beltrán, Antonio; Lyons, Richard; Moretó, Alexander; Navarro, Gabriel; Sáez, Azahara; Tiep, Pham Huu Wiley (2018-10)
      If G is a finite group, p is a prime, and x∈G, it is an interesting problem to place x in a convenient small (normal) subgroup of G, assuming some knowledge of the order of the products xy, for certain p‐elements y of G.