• openAccess   p-divisibility of conjugacy class sizes and normal p-complements 

      Beltrán, Antonio; Felipe, Maria José; shao, Changguo De Gruyter (2015-01)
      Let N be a normal subgroup of a group G and let p be a prime.We prove that if the p-part of jxGj is a constant for every prime-power order element x 2 N n Z.N /, then N is solvable and has normal p-complement.