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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
In this paper, we show that if $1/8$ of elements of $G$ have order two, then $G$ is either a simple group isomorphic to $PSL_{2}(q)$, where $q\in\{7,8,9\}$ or $G\cong GL_{2}(4).\mathbb{Z}_2 In fact in this paper, we answer Problem 132 in [1].
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Let $G$ be a finite non-solvable group.
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Temel Bulgular & Veri:Let $G$ be a finite non-solvable group.
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Sonuç & Katkı:In this paper, we show that if $1/8$ of elements of $G$ have order two, then $G$ is either a simple group isomorphic to $PSL_{2}(q)$, where $q\in\{7,8,9\}$ or $G\cong GL_{2}(4).\mathbb{Z}_2 In fact in this paper, we answer Problem 132 in [1].
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Involution · classification of finite groups with
Abstract
Let $G$ be a finite non-solvable group. In this paper, we show that if $1/8$ of elements of $G$ have order two, then $G$ is either a simple group isomorphic to $PSL_{2}(q)$, where $q\in\{7,8,9\}$ or $G\cong GL_{2}(4).\mathbb{Z}_2 In fact in this paper, we answer Problem 132 in [1].
Anahtar kelimeler
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Bu Makaleye Atıf Yap
AHANJİDEH, N., GHASEMABADI, M. F. (2022). On the structure of finite groups with the given numbers of involutions. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 1, 15–22. https://ajindex.com/articles/651242