Relation Between Groups with Basis Property and Groups with Exchange Property
نویسندگان
چکیده
منابع مشابه
Relation between Groups with Basis Property and Groups with Exchange Property
A group G is called a group with basis property if there exists a basis (minimal generating set) for every subgroup H of G and every two bases are equivalent. A group G is called a group with exchange property, if x / ∈ 〈X〉 ∧ x ∈ 〈X ∪ {y}〉 , then y ∈ 〈X ∪ {x}〉, for all x, y ∈ G and for every subset X ⊆ G. In this research, we proved the following: Every polycyclic group satisfies the basis prop...
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ژورنال
عنوان ژورنال: Analele Universitatii "Ovidius" Constanta - Seria Matematica
سال: 2016
ISSN: 1844-0835
DOI: 10.1515/auom-2016-0024