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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 2

On generalized autocommutativity degree of finite groups

Parama Dutta0000-0002-6984-9817
Rajat Kanti Nath0000-0003-4766-6523
Sayfa
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Yayın Tarihi
2019-04-01
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper we introduce and study the probability that the autocommutator of a randomly chosen pair of elements, one from $H$ and the other from Aut$(G)$ , is equal to a given element of $G$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let $H$ be a subgroup of a finite group $G$ and Aut$(G)$ be the automorphism group of $G$.
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Temel Bulgular & Veri:Let $H$ be a subgroup of a finite group $G$ and Aut$(G)$ be the automorphism group of $G$.
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Sonuç & Katkı:In this paper we introduce and study the probability that the autocommutator of a randomly chosen pair of elements, one from $H$ and the other from Aut$(G)$ , is equal to a given element of $G$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:automorphism group · autocommutativity degree · autoisoclinism

Abstract

Let $H$ be a subgroup of a finite group $G$ and Aut$(G)$ be the automorphism group of $G$. In this paper we introduce and study the probability that the autocommutator of a randomly chosen pair of elements, one from $H$ and the other from Aut$(G)$ , is equal to a given element of $G$.

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Bu Makaleye Atıf Yap

Dutta, P., Nath, R. K. (2019). On generalized autocommutativity degree of finite groups. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 2. https://ajindex.com/articles/1402815

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Kaynakça (10)

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