Accession Number : AD0651260

Title :   ON CANONICAL BASES FOR SUBGROUPS OF AN ABELIAN GROUP.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Mann,Henry B.

Report Date : FEB 1967

Pagination or Media Count : 24

Abstract : A basis omega sub 1,...omega sub n of an Abelian group G is called canonical for the subgroup H if H = (d sub 1 omega sub 1, ...d sub n omega sub n). Necessary and sufficient conditions are given that a basis exists which is canonical for a set H sub 1, ..., H sub s of subgroups of G. The result is applied to matrices, to n dimensional lattices and to algebraic numberfields. (Author)

Descriptors :   (*GROUPS(MATHEMATICS), NUMBER THEORY), MATRICES(MATHEMATICS), THEOREMS, ALGEBRA

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE