A lattice of subgroups that is not embeddable into the subgroup lattice of an abelian group
نویسندگان
چکیده
منابع مشابه
On the Subgroup Lattice of an Abelian Finite Group
The aim of this paper is to give some connections between the structure of an abelian finite group and the structure of its subgroup lattice. Let (G, +) be an abelian group. Then the set L(G) of subgroups of G is a modular and complete lattice. Moreover, we suppose that G is finite of order n. If L n is the divisors lattice of n, then the following function is well defined: ord : L(G) −→ L n , ...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1998
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-13848