### Abstract

Let p be a prime number and let G be an abelian p-group. Let Delta be the maximal normal p-subgroup of Aut G and zeta the maximal p-subgroup of its centre. Let t be the torsion radical of epsilon(G). Then Delta = (1 + t)zeta. The result is new for p = 2 and 3, and the proof is new and valid for all primes p.

Original language | English |
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Pages (from-to) | 2525-2533 |

Journal | Proceedings of the American Mathematical Society |

Volume | 126 |

Issue number | 9 |

DOIs | |

Publication status | Published - 1998 |