Euler Characteristics of p-Coset Posets of Finite Groups

Abstract The p -coset poset of a finite group G consists of all cosets of proper p -subgroups of G ordered by set inclusion. We determine the Euler characteristic of the p -coset poset of the finite groups of Lie type in characteristic p .

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Publication Details

Journal
Graphs and Combinatorics
Published
2025-03-28
DOI
https://doi.org/10.1007/s00373-025-02898-6
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Euler Characteristics of p-Coset Posets of Finite Groups

Jesper M. Møller
Graphs and Combinatorics
Homotopy and Cohomology in Algebraic Topology
article

Euler Characteristics of p-Coset Posets of Finite Groups

Jesper M. Møller
article en

Abstract

Abstract The p -coset poset of a finite group G consists of all cosets of proper p -subgroups of G ordered by set inclusion. We determine the Euler characteristic of the p -coset poset of the finite groups of Lie type in characteristic p .

Graphs and CombinatoricsVol. 41(2)
University of Copenhagen (DK)
National Research Foundation, Danmarks Grundforskningsfond
Reduced inequalities
Openalex Percentile: Top 90%
Homotopy and Cohomology in Algebraic Topology
DOIOpen Access PDFOpenAlex
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Euler Characteristics of p-Coset Posets of Finite Groups — Jesper M. Møller · Graphs and Combinatorics (2025) | TGRS Research Map | TGRS