Automorphisms of Finite Abelian Groups

  title={Automorphisms of Finite Abelian Groups},
  author={Christopher J. Hillar and Darren L. Rhea},
  journal={The American Mathematical Monthly},
  pages={917 - 923}
  • C. Hillar, D. Rhea
  • Published 8 May 2006
  • Mathematics, Computer Science
  • The American Mathematical Monthly
Much less known, however, is that there is a description of Aut(G), the automorphism group of G. The first compete characterization that we are aware of is contained in a paper by Ranum [1] near the turn of the last century. Beyond this, however, there are few other expositions [4]. Our goal is to fill this gap, thereby providing a much needed accessible and modern treatment. Our characterization of Aut(G) is accomplished in three main steps. The first observation is that it is enough to work… Expand
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1 Aadj = An'x + cn_! An~2 +
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