What question did this study set out to answer?

This research aims to characterize the irreducible constituents of generalized characters with values expressible as sums of roots of unity on abelian groups.

July 16, 2026Journal of Group Theory

Generalized characters and prime graphs

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CHChristopher HerbigNorthern Illinois University

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Implication

Randomized trial describes irreducible constituents of generalized characters in abelian groups, suggesting implications for prime graph connectivity.

Key Points

This research aims to characterize the irreducible constituents of generalized characters with values expressible as sums of roots of unity on abelian groups.
Analyzed generalized characters of finite groups of degree n.
Described irreducible constituents related to character values being sums of two or fewer roots of unity.
Applied findings to study connectivity of prime graphs for groups allowing such characters.
Established a clear relationship between generalized characters and the structure of prime graphs.
Demonstrated implications for the connectivity of group prime graphs based on character values.
Enhanced understanding of how these characters interact within the framework of abelian groups.

Cite This Study

Christopher Herbig (2026) studied this question.

synapsesocial.com/papers/6a58752d2b46c88ba9ad0ff2 https://doi.org/10.1515/jgth-2025-0161

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Implication

Randomized trial describes irreducible constituents of generalized characters in abelian groups, suggesting implications for prime graph connectivity.

Generalized characters and prime graphs

Discussion

Member takes

Implication

Key Points

Cite This Study

Generalized characters and prime graphs

Discussion

Member takes

Implication

Key Points

Cite This Study

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