Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



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
MathSciNet review: 0292932
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 20K99

Retrieve articles in all journals with MSC: 20K99

Additional Information

Keywords: Primary Abelian group, reduced group, automorphism group, subgroup lattice, projectivity, duality, adjoint homomorphism, stabilizer, direct summand, involution, extreme involution
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society