Department of Mathematics, University of Houston, Houston, Texas 77204-3476 ; Department of Mathematics, University of Western Australia, Nedlands 6009, Australia -
Abstract:
Let be a prime number and let be an abelian -group. Let be the maximal normal -subgroup of and the maximal -subgroup of its centre. Let be the torsion radical of . Then . The result is new for and 3, and the proof is new and valid for all primes .