What question did this study set out to answer?

The aim is to investigate how minimum nontrivial codegrees of irreducible characters relate to finite simple groups.

March 31, 2026Bulletin of the Australian Mathematical SocietyOpen Access

On the Relationship Between the Minimum Irreducible Character Codegree and Finite Simple Groups

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The aim is to investigate how minimum nontrivial codegrees of irreducible characters relate to finite simple groups.
Examined group orders of sporadic simple groups, alternating groups, and projective special linear groups.
Analyzed the minimum nontrivial codegrees of irreducible characters associated with these groups.
Sporadic simple groups, alternating groups, and projective special linear groups are characterized by their group orders.
Minimum nontrivial codegrees provide a unique identification for these groups.

Implication

This analysis finds unique characterizations of finite simple groups from their group orders and codegrees.

Abstract

It is established that the sporadic simple groups, the alternating groups and the projective special linear groups L₂(p) for primes p ≥ 5 are uniquely determined by their group orders and the minimum nontrivial codegrees of their irreducible characters.

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Cite This Study

GAO et al. (2026) studied this question.

synapsesocial.com/papers/69cb6526e6a8c024954b93a8 https://doi.org/10.1017/s0004972726101014

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Implication

This analysis finds unique characterizations of finite simple groups from their group orders and codegrees.

On the Relationship Between the Minimum Irreducible Character Codegree and Finite Simple Groups

Key Points

Implication

Abstract

Discussion

Cite This Study

On the Relationship Between the Minimum Irreducible Character Codegree and Finite Simple Groups

Key Points

Implication

Abstract

Discussion

Cite This Study

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