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2024/105/3-4 (11) — DOI: 10.5486/PMD.2024.9880 — pp. 463-471

On small orbits of self-dual modules

Authors: Fang Bian Orcid.org link for Fang Bian and Yong Yang Orcid.org link for Yong Yang

Abstract:

We obtain a result regarding the existence of small orbits for self-dual modules, thus generalizing a theorem of T. R. Berger for symplectic modules. We also strengthen a result of Marchi.

Keywords: solvable group, odd-order subgroups, self-dual module

Mathematics Subject Classification: 20D15, 20D10