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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 46 Issue: 2

Centralizers and the maximum size of the pairwise noncommuting elements in finite groups

Seyyed Majid Jafarian Amiri
Hojjat Rostami
Sayfa
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Yayın Tarihi
2017-04-01
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

As an application of this result, we obtain the sharp lower bound for $\omega(G)$ in terms of the order of $G$ where $\omega(G)$ is the maximum size of a set of the pairwise noncommuting elements of $G$.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this article, we determine the structure of all nonabelian groups $G$ such that $G$ has the minimum number of the element centralizers among nonabelian groups of the same order.
📊
Temel Bulgular & Veri:In this article, we determine the structure of all nonabelian groups $G$ such that $G$ has the minimum number of the element centralizers among nonabelian groups of the same order.
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Sonuç & Katkı:As an application of this result, we obtain the sharp lower bound for $\omega(G)$ in terms of the order of $G$ where $\omega(G)$ is the maximum size of a set of the pairwise noncommuting elements of $G$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:finite group · centralizer · CA-group

Abstract

In this article, we determine the structure of all nonabelian groups $G$ such that $G$ has the minimum number of the element centralizers among nonabelian groups of the same order. As an application of this result, we obtain the sharp lower bound for $\omega(G)$ in terms of the order of $G$ where $\omega(G)$ is the maximum size of a set of the pairwise noncommuting elements of $G$.

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Bu Makaleye Atıf Yap

Amiri, S. M. J., Rostami, H. (2017). Centralizers and the maximum size of the pairwise noncommuting elements in finite groups. Hacettepe Journal of Mathematics and Statistics, Volume: 46 Issue: 2. https://ajindex.com/articles/1403045

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Kaynakça (29)

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