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 | 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.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1972-0292932-X
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
