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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 2

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

Seyyed Majid Jafarian AMİRİ
Hojjat ROSTAMİ
Sayfa
193–198
Yayın Tarihi
2022-10-18
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 amongnonabelian 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 amongnonabelian groups of the same order.
💡
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:Araştırma Makalesi
📍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 amongnonabelian 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

AMİRİ, S. M. J., ROSTAMİ, H. (2022). Centralizers and the maximum size of the pairwise noncommuting elements in finite groups. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 2, 193–198. https://ajindex.com/articles/529998

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Kaynakça (17)

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