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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 2

On generalized autocommutativity degree of finite groups

Parama Dutta
Rajat Kanti Nath
Pages
472–478
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Mathematics Subject Classification (2010). 20D60, 20P05, 20F28

📌 3 Key Takeaways

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Objective & Hypothesis:Let H be a subgroup of a finite group G and Aut(G) be the automorphism group of G.
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Key Findings & Data: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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Conclusion & Impact:Mathematics Subject Classification (2010). 20D60, 20P05, 20F28
🔬Design:Research Article
📍Scope:2010 Verileri
⚙️Variables:Domain Parameters

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. Mathematics Subject Classification (2010). 20D60, 20P05, 20F28

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Cite This Article

Dutta, P., Nath, R. K. (2022). On generalized autocommutativity degree of finite groups. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 2, 472–478. https://ajindex.com/articles/529783

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