• closedAccess   Existence of normal Hall subgroups by means of orders of products 

      Beltrán, Antonio; Sáez, Azahara Wiley-VCH Verlag (2018)
      Let G be a finite group, let π be a set of primes and let p be a prime. We characterize the existence of a normal Hall π‐subgroup in G in terms of the order of products of certain elements of G. This theorem generalizes a ...
    • 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.