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Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 2

Some properties on the Baer-invariant of a pair of groups and VG-marginal series

Mohammad Reza RISMANCHIAN
Mehdi ARASKHAN
Pages
259–266
Publication Date
2013-02-01
DOI
—
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AI Summary & Key Takeaways

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

Also, we conclude a generalized version of the Stallings' theorem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to present some properties of the Baer-invariant of a pair of groups with respect to a given variety of groups V.
📊
Key Findings & Data:We derive some equalities and inequalities of the Baer-invariant of a pair of finite groups, as long as V is considered to be a Schur-Baer variety.
💡
Conclusion & Impact:Also, we conclude a generalized version of the Stallings' theorem.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Baer-invariant · pair of groups · Schur-Baer variety

Abstract

The aim of this paper is to present some properties of the Baer-invariant of a pair of groups with respect to a given variety of groups V. We derive some equalities and inequalities of the Baer-invariant of a pair of finite groups, as long as V is considered to be a Schur-Baer variety. Moreover, we present a relative version of the concept of lower marginal series and give some isomorphisms among VG-marginal factor groups. Also, we conclude a generalized version of the Stallings' theorem.

Özet

The aim of this paper is to present some properties of the Baer-invariant of a pair of groups with respect to a given variety of groups V. We derive some equalities and inequalities of the Baer-invariant of a pair of finite groups, as long as V is considered to be a Schur-Baer variety. Moreover, we present a relative version of the concept of lower marginal series and give some isomorphisms among VG-marginal factor groups. Also, we conclude a generalized version of the Stallings' theorem.

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Cite This Article

RISMANCHIAN, M. R., ARASKHAN, M. (2013). Some properties on the Baer-invariant of a pair of groups and VG-marginal series. Turkish Journal of Mathematics, Cilt: 37 - Sayı: 2, 259–266. https://ajindex.com/articles/723338

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