Hypergraph matching complexes and Quillen complexes of symmetric groups

John Shareshian

doi:10.1016/j.jcta.2004.03.002

Hypergraph matching complexes and Quillen complexes of symmetric groups

John Shareshian

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We investigate Quillen complexes of symmetric groups using hypergraph matching complexes and p-cycle complexes. We determine the homotopy type of the Quillen complex of S_3p at the prime p. We show that there is torsion in the homology of the Quillen complex of S₁₃ at the prime 3, thereby providing the first example of a Quillen complex of a finite group whose homology is not free.

Original language	English
Pages (from-to)	299-314
Number of pages	16
Journal	Journal of Combinatorial Theory. Series A
Volume	106
Issue number	2
DOIs	https://doi.org/10.1016/j.jcta.2004.03.002
State	Published - May 2004

Keywords

Hypergraph matching complex
Quillen complex
Symmetric group

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10.1016/j.jcta.2004.03.002

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title = "Hypergraph matching complexes and Quillen complexes of symmetric groups",

abstract = "We investigate Quillen complexes of symmetric groups using hypergraph matching complexes and p-cycle complexes. We determine the homotopy type of the Quillen complex of S3p at the prime p. We show that there is torsion in the homology of the Quillen complex of S13 at the prime 3, thereby providing the first example of a Quillen complex of a finite group whose homology is not free.",

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AB - We investigate Quillen complexes of symmetric groups using hypergraph matching complexes and p-cycle complexes. We determine the homotopy type of the Quillen complex of S3p at the prime p. We show that there is torsion in the homology of the Quillen complex of S13 at the prime 3, thereby providing the first example of a Quillen complex of a finite group whose homology is not free.

KW - Hypergraph matching complex

KW - Quillen complex

KW - Symmetric group

UR - https://www.scopus.com/pages/publications/2942592523

U2 - 10.1016/j.jcta.2004.03.002

DO - 10.1016/j.jcta.2004.03.002

M3 - Article

AN - SCOPUS:2942592523

SN - 0097-3165

VL - 106

SP - 299

EP - 314

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

IS - 2

ER -

Hypergraph matching complexes and Quillen complexes of symmetric groups

Abstract

Keywords

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