Invariants of finite abelian groups
نویسندگان
چکیده
منابع مشابه
Computation of invariants of finite abelian groups
We investigate the computation and applications of rational invariants of the linear action of a finite abelian group in the non-modular case. By diagonalization, such a group action can be described by integer matrices of orders and exponents. We make use of integer linear algebra to compute a minimal generating set of invariants along with the substitution needed to rewrite any invariant in t...
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We investigate the computation and applications of rational invariants of the linear action of a finite abelian group in the non-modular case. By diagonalization, the group action is accurately described by an integer matrix of exponents. We make use of linear algebra to compute a minimal generating set of invariants and the substitution to rewrite any invariant in terms of this generating set....
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Let G be an additive finite abelian group with exponent exp(G). Let s(G) (resp. η(G)) be the smallest integer t such that every sequence of t elements (repetition allowed) from G contains a zero-sum subsequence T of length |T | = exp(G) (resp. |T | ∈ [1, exp(G)]). Let H be an arbitrary finite abelian group with exp(H) = m. In this paper, we show that s(Cmn ⊕ H) = η(Cmn ⊕ H) + mn − 1 holds for a...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1973
ISSN: 0025-5645
DOI: 10.2969/jmsj/02510007