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Dergiler / Istanbul Journal of Mathematics / 2026 / Volume: 2 Issue: 1

A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups

Sultan Bozkurt Güngör(Gebze Technical University, Faculty of Science, Department of Mathematics)0000-0001-6224-3751
Gamze Akar(İstinye University, Faculty of Engineering and Natural Sciences, Department of Mathematics)0000-0001-8950-1335
Temha Erkoç(ISTANBUL UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS)0000-0001-5437-3679
Sayfa
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Yayın Tarihi
2024-06-25
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We give relationships between the structure of 𝐺 and the vanishing elements, co-degrees of strongly monolithic characters of 𝐺.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Character theory of finite groups have an important role in understanding the structure of finite groups.
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Temel Bulgular & Veri:A number of previously unresolved problems related to the structure of finite groups have been solved with the development of representation and character theory.
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Sonuç & Katkı:We give relationships between the structure of 𝐺 and the vanishing elements, co-degrees of strongly monolithic characters of 𝐺.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:strongly monolithic characters · vanishing elements · co-degree

Abstract

Character theory of finite groups have an important role in understanding the structure of finite groups. A number of previously unresolved problems related to the structure of finite groups have been solved with the development of representation and character theory. There are many articles in the literature on the relationships between the structure of finite groups and their irreducible characters. Today, many researchers continue to study these relationships. Our purpose in this paper is to prove that for determining some properties of the structure of a finite group 𝐺, it is enough to consider only strongly monolithic characters of 𝐺 instead of all irreducible characters of 𝐺. We give relationships between the structure of 𝐺 and the vanishing elements, co-degrees of strongly monolithic characters of 𝐺.

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Bu Makaleye Atıf Yap

Güngör, S. B., Akar, G., Erkoç, T. (2024). A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups. Istanbul Journal of Mathematics, Volume: 2 Issue: 1. https://doi.org/10.26650/ijmath.2024.00014

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