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Character covering number of PSL₂ (q)

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The character covering number is the minimum n such that all irreducible characters are represented.
For PSL2(q) with q ≥ 8, the article provides a formula to compute the character covering number.
Faithful irreducible characters play a critical role in defining the character covering number computations.
Understanding the character covering number aids in broader applications across group theory.

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This article computes the character covering number for PSL2, highlighting irreducible characters and their properties.

Arvind et al. (2025) studied this question.

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