The Brauer characters of the sporadic simple Harada-Norton group and its automorphism group in characteristics 2 and 3
Gerhard Hiss, J\"urgen M\"uller, Felix Noeske, and Jon Thackray
TL;DR
This paper computes the modular character tables of the Harada-Norton sporadic simple group and its automorphism group for characteristics 2 and 3, providing essential data for representation theory in these cases.
Contribution
It presents the first complete determination of the 2- and 3-modular Brauer character tables for these groups, filling a gap in the understanding of their modular representations.
Findings
Complete 2-modular character table of the Harada-Norton group and its automorphism group.
Complete 3-modular character table of the Harada-Norton group and its automorphism group.
Provides foundational data for further research in modular representation theory of sporadic groups.
Abstract
We determine the 2-modular and 3-modular character tables of the sporadic simple Harada-Norton group and its automorphism group.
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