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Euler Characteristics of p-Coset Posets of Finite Groups

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… Click to show full 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.

Keywords: posets finite; finite groups; coset posets; euler characteristics; characteristics coset

Journal Title: Graphs and Combinatorics
Year Published: 2025

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