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Journals / International Electronic Journal of Algebra / 2026 / Volume: 40 Issue: 40

Finite group whose maximal subgroups have small codegree sums

Shitian Liu(Sichuan University of Arts and Science)
Pages
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Publication Date
2026-07-16
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The purpose of this paper is to give the structure of finite groups whose maximal subgroups $H$ satisfy $\mathrm{T}^\mathrm{c}(H)<24$ where $\mathrm{T}^\mathrm{c}(K)$ is the sum of codegrees of a group $K$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of this paper is to give the structure of finite groups whose maximal subgroups $H$ satisfy $\mathrm{T}^\mathrm{c}(H)<24$ where $\mathrm{T}^\mathrm{c}(K)$ is the sum of codegrees of a group $K$.
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Key Findings & Data:The purpose of this paper is to give the structure of finite groups whose maximal subgroups $H$ satisfy $\mathrm{T}^\mathrm{c}(H)<24$ where $\mathrm{T}^\mathrm{c}(K)$ is the sum of codegrees of a group $K$.
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Conclusion & Impact:The purpose of this paper is to give the structure of finite groups whose maximal subgroups $H$ satisfy $\mathrm{T}^\mathrm{c}(H)<24$ where $\mathrm{T}^\mathrm{c}(K)$ is the sum of codegrees of a group $K$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Simple group · maximal subgroup · character codegree

Abstract

The purpose of this paper is to give the structure of finite groups whose maximal subgroups $H$ satisfy $\mathrm{T}^\mathrm{c}(H)<24$ where $\mathrm{T}^\mathrm{c}(K)$ is the sum of codegrees of a group $K$.

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Cite This Article

Liu, S. (2026). Finite group whose maximal subgroups have small codegree sums. International Electronic Journal of Algebra, Volume: 40 Issue: 40. https://doi.org/10.24330/ieja.1948776

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