Kai Faltings
Abstract
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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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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.
Key concepts: Mathematics, p-group, Alternating group, Abelian group, G-module, Non-abelian group, Outer automorphism group, Inner automorphism