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Apartment classes of integral symplectic groups

arXiv.org, 2023-06

2023. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;http://arxiv.org/licenses/nonexclusive-distrib/1.0 ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2305.17697

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  • Title:
    Apartment classes of integral symplectic groups
  • Author: Brück, Benjamin ; Sroka, Robin J
  • Subjects: Apartments ; Mathematics - Algebraic Topology ; Mathematics - Group Theory ; Mathematics - Number Theory ; Modules
  • Is Part Of: arXiv.org, 2023-06
  • Description: In this note we present an alternative proof of a theorem of Gunnells, which states that the Steinberg module of \(\operatorname{Sp_{2n}}(\mathbb{Q})\) is a cyclic \(\operatorname{Sp_{2n}}(\mathbb{Z})\)-module, generated by integral apartment classes.
  • Publisher: Ithaca: Cornell University Library, arXiv.org
  • Language: English
  • Identifier: EISSN: 2331-8422
    DOI: 10.48550/arxiv.2305.17697
  • Source: Freely Accessible Journals
    arXiv.org
    ROAD: Directory of Open Access Scholarly Resources
    ProQuest Central
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