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character decomposition 1finite groups 1general linear group 1möbius function 1pseudo-levi subgroups 1symplectic group 1

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math.RT2026

Möbius functions for pseudo-Levi subgroups in finite general linear and symplectic groups

Aritra Kundu

The paper calculates the Möbius function for the lattice of pseudo‑Levi subgroups that contain a fixed maximal torus in the finite groups GLₙ(q) and Sp₂ₙ(q), providing data needed…