Solvable groups with four supercharacter theories

The aim of this paper is to identify the solvable groups with four supercharacter theories. To achieve this, the research will first identify abelian groups with four supercharacter theories. Then it is proved that the only non-abelian group with four supercharacter theories is dihedral group of order 38.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2024-11-08
DOI
https://doi.org/10.1142/s0219498826500957
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

Solvable groups with four supercharacter theories

E. Armioun
Journal of Algebra and Its Applications
Advanced Topics in Algebra
article

Solvable groups with four supercharacter theories

E. Armioun
article en

Abstract

The aim of this paper is to identify the solvable groups with four supercharacter theories. To achieve this, the research will first identify abelian groups with four supercharacter theories. Then it is proved that the only non-abelian group with four supercharacter theories is dihedral group of order 38.

Journal of Algebra and Its Applications
Kharazmi University (IR)
Openalex Percentile: Top 64%
Advanced Topics in Algebra
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Solvable groups with four supercharacter theories — E. Armioun · Journal of Algebra and Its Applications (2024) | TGRS Research Map | TGRS