On the automorphism group of a reduced primary Abelian group

Faltings, Kai

doi:10.1090/S0002-9947-1972-0292932-X

On the automorphism group of a reduced primary Abelian group

Author: Kai Faltings
Journal: Trans. Amer. Math. Soc. 165 (1972), 1-25
MSC: Primary 20K99
DOI: https://doi.org/10.1090/S0002-9947-1972-0292932-X
MathSciNet review: 0292932
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Abstract: The classical theorems concerning isomorphisms and automorphisms of full linear groups are generalized to reduced primary Abelian groups and their automorphism groups. Also, a duality theory for (not necessarily finite) reduced Abelian p-groups is presented.

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