The modular characters of $\text{Sp}_{10}(2)$

Using computational methods, we determine the irreducible $3$- and $5$-modular characters of the symplectic group $\text{Sp}_{10}(2)$ for blocks with non cyclic defect groups, with one ambiguity in the principal $3$-block.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-26
DOI
https://doi.org/10.48550/arxiv.2610.35185
Primary Topic
Finite Group Theory Research
Type
preprint
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preprint

The modular characters of $\text{Sp}_{10}(2)$

Gerhard Hiß
arXiv (Cornell University)
Finite Group Theory Research
preprint

The modular characters of $\text{Sp}_{10}(2)$

Gerhard Hiß
preprint en

Abstract

Using computational methods, we determine the irreducible $3$- and $5$-modular characters of the symplectic group $\text{Sp}_{10}(2)$ for blocks with non cyclic defect groups, with one ambiguity in the principal $3$-block.

arXiv (Cornell University)
Finite Group Theory Research
DOIOpen Access PDFOpenAlex
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The modular characters of $\text{Sp}_{10}(2)$ — Gerhard Hiß · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS