### Araştırma Makalesi

IUP :10.26650/ijmath.2024.00014    Tam Metin (PDF)

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

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.

Anahtar Kelimeler: solvable groups

#### Referanslar

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#### Atıflar

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##### APA

Bozkurt Güngör, S., Akar, G., & Erkoç, T. (2024). A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups. Istanbul Journal of Mathematics, 2(1), 39-43. https://doi.org/10.26650/ijmath.2024.00014

##### AMA

Bozkurt Güngör S, Akar G, Erkoç T. A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups. Istanbul Journal of Mathematics. 2024;2(1):39-43. https://doi.org/10.26650/ijmath.2024.00014

##### ABNT

Bozkurt Güngör, S.; Akar, G.; Erkoç, T. A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups. Istanbul Journal of Mathematics, [Publisher Location], v. 2, n. 1, p. 39-43, 2024.

##### Chicago: Author-Date Style

Bozkurt Güngör, Sultan, and Gamze Akar and Temha Erkoç. 2024. “A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups.” Istanbul Journal of Mathematics 2, no. 1: 39-43. https://doi.org/10.26650/ijmath.2024.00014

##### Chicago: Humanities Style

Bozkurt Güngör, Sultan, and Gamze Akar and Temha Erkoç. A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups.” Istanbul Journal of Mathematics 2, no. 1 (Aug. 2024): 39-43. https://doi.org/10.26650/ijmath.2024.00014

##### Harvard: Australian Style

Bozkurt Güngör, S & Akar, G & Erkoç, T 2024, 'A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups', Istanbul Journal of Mathematics, vol. 2, no. 1, pp. 39-43, viewed 11 Aug. 2024, https://doi.org/10.26650/ijmath.2024.00014

##### Harvard: Author-Date Style

Bozkurt Güngör, S. and Akar, G. and Erkoç, T. (2024) ‘A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups’, Istanbul Journal of Mathematics, 2(1), pp. 39-43. https://doi.org/10.26650/ijmath.2024.00014 (11 Aug. 2024).

##### MLA

Bozkurt Güngör, Sultan, and Gamze Akar and Temha Erkoç. A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups.” Istanbul Journal of Mathematics, vol. 2, no. 1, 2024, pp. 39-43. [Database Container], https://doi.org/10.26650/ijmath.2024.00014

##### Vancouver

Bozkurt Güngör S, Akar G, Erkoç T. A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups. Istanbul Journal of Mathematics [Internet]. 11 Aug. 2024 [cited 11 Aug. 2024];2(1):39-43. Available from: https://doi.org/10.26650/ijmath.2024.00014 doi: 10.26650/ijmath.2024.00014

Bozkurt Güngör, Sultan - Akar, Gamze - Erkoç, Temha. A note on vanishing elements and co-degrees of strongly monolithic characters of finite groups”. Istanbul Journal of Mathematics 2/1 (Aug. 2024): 39-43. https://doi.org/10.26650/ijmath.2024.00014

### ZAMAN ÇİZELGESİ

 Gönderim 22.05.2024 Kabul 15.06.2024 Çevrimiçi Yayınlanma 25.06.2024