SUBGROUP LATTICE ALGORITHMS RELATED TO EXTENDING AND LIFTING ABELIAN GROUPS

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International Electronic Journal of Algebra
Volume:2 Issue:2
SUBGROUP LATTICE ALGORITHMS RELATED TO EXTENDING AND LIFTING ABELIAN GROUPS

SUBGROUP LATTICE ALGORITHMS RELATED TO EXTENDING AND LIFTING ABELIAN GROUPS

Authors : Septimiu CRİVEİ, Ştefan Şuteu SZÖLLOSİ

Pages : 54-70

View : 44 | Download : 6

Publication Date : 2007-12-01

Article Type : Research Paper

Abstract :We develop algorithms for determining properties of finite abelian groups related to the notions of extending and lifting groups. Thus, we give efficient methods, on one hand to check the properties of being direct summand, essential, superfluous, coessential, complement insert ignore into journalissuearticles values(closed);, supplement insert ignore into journalissuearticles values(coclosed); subgroup, and on the other hand to determine all subgroups with the mentioned properties of a given finite abelian group.
Keywords : Subgroup lattice, essential subgroup, superfluous subgroup, complement, supplement, extending abelian group, lifting abelian group

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