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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 1

Solvable groups having primitive characters of degree two

Burcu Çınarcı(PİRİ REİS ÜNİVERSİTESİ)0000-0003-1202-0968
Temha Erkoç(İSTANBUL ÜNİVERSİTESİ)0000-0001-5437-3679
Pages
—
Publication Date
2022-02-14
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AI Summary & Key Takeaways

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

Then we classify all finite solvable groups having at most five nonlinear monolithic characters one of which is primitive of degree two.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we are interested in the classification of finite solvable groups having primitive characters of degree two.
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Key Findings & Data:We first determine all finite solvable groups having both a faithful primitive character of degree two and a faithful real-valued irreducible character.
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Conclusion & Impact:Then we classify all finite solvable groups having at most five nonlinear monolithic characters one of which is primitive of degree two.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Solvable groups · Primitive characters · Monolithic characters

Abstract

In this paper, we are interested in the classification of finite solvable groups having primitive characters of degree two. We first determine all finite solvable groups having both a faithful primitive character of degree two and a faithful real-valued irreducible character. Then we classify all finite solvable groups having at most five nonlinear monolithic characters one of which is primitive of degree two.

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Cite This Article

Çınarcı, B., Erkoç, T. (2022). Solvable groups having primitive characters of degree two. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 1. https://doi.org/10.15672/hujms.892294

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