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Journals / International Electronic Journal of Algebra / 2007 / Cilt: 2 - Sayı: 2

SUBGROUP LATTICE ALGORITHMS RELATED TO EXTENDING AND LIFTING ABELIAN GROUPS

Septimiu CRİVEİ
Ştefan Şuteu SZÖLLOSİ
Pages
54–70
Publication Date
2007-12-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Thus, we give efficient methods, on one hand to check the properties of being direct summand, essential, superfluous, coessential, complement (closed), supplement (coclosed) subgroup, and on the other hand to determine all subgroups with the mentioned properties of a given finite abelian group.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We develop algorithms for determining properties of finite abelian groups related to the notions of extending and lifting groups.
📊
Key Findings & Data:We develop algorithms for determining properties of finite abelian groups related to the notions of extending and lifting groups.
💡
Conclusion & Impact:Thus, we give efficient methods, on one hand to check the properties of being direct summand, essential, superfluous, coessential, complement (closed), supplement (coclosed) subgroup, and on the other hand to determine all subgroups with the mentioned properties of a given finite abelian group.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Subgroup lattice · essential subgroup · superfluous subgroup

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 (closed), supplement (coclosed) subgroup, and on the other hand to determine all subgroups with the mentioned properties of a given finite abelian group.

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Cite This Article

CRİVEİ, S., SZÖLLOSİ, Ş. Ş. (2007). SUBGROUP LATTICE ALGORITHMS RELATED TO EXTENDING AND LIFTING ABELIAN GROUPS. International Electronic Journal of Algebra, Cilt: 2 - Sayı: 2, 54–70. https://ajindex.com/articles/832584

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References (8)

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