English

Apartment classes of integral symplectic groups

Algebraic Topology 2025-12-24 v3 Group Theory Number Theory

Abstract

In this note we present an alternative proof of a theorem of Gunnells, which states that the Steinberg module of Sp2n(Q)\operatorname{Sp_{2n}}(\mathbb{Q}) is a cyclic Sp2n(Z)\operatorname{Sp_{2n}}(\mathbb{Z})-module, generated by integral apartment classes.

Cite

@article{arxiv.2305.17697,
  title  = {Apartment classes of integral symplectic groups},
  author = {Benjamin Brück and Robin J. Sroka},
  journal= {arXiv preprint arXiv:2305.17697},
  year   = {2025}
}

Comments

v2: 16 pages. References updated. v3: accepted version, to appear in J. Topol. Anal

R2 v1 2026-06-28T10:48:39.895Z