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DOI :10.26650/ijmath.2024.00014   IUP :10.26650/ijmath.2024.00014    Full Text (PDF)

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

Sultan Bozkurt Güngör, Gamze Akar, Temha Erkoç

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.

Keywords: strongly monolithic characters, vanishing elements, co-degree, solvable groups

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References

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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 (Dec. 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 23 Dec. 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 (23 Dec. 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]. 23 Dec. 2024 [cited 23 Dec. 2024];2(1):39-43. Available from: https://doi.org/10.26650/ijmath.2024.00014 doi: 10.26650/ijmath.2024.00014


ISNAD

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 (Dec. 2024): 39-43. https://doi.org/10.26650/ijmath.2024.00014



TIMELINE


Submitted22.05.2024
Accepted15.06.2024
Published Online25.06.2024

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