Euler characteristics and Möbius algebras of p-subgroup categories

Martin Wedel Jacobsen; Jesper Michael Møller

doi:10.1016/j.jpaa.2012.03.032

Euler characteristics and Möbius algebras of p-subgroup categories

Martin Wedel Jacobsen, Jesper Michael Møller

Department of Mathematical Sciences

6 Citations (Scopus)

Abstract

Let G be a finite group and p a prime number. We compute the Euler characteristicin the sense of Leinster for some categories of nonidentity p-subgroups of G. The p-subgroup categories considered include the Brown poset S _G ^*, the transporter category T _G ^*, the linking category L _G ^*, the Frobenius, or fusion, category F _G ^*, and the orbit category O _G ^* of all nonidentity p-subgroups of G.

Original language	English
Journal	Journal of Pure and Applied Algebra
Volume	216
Issue number	12
Pages (from-to)	2665-2696
ISSN	0022-4049
DOIs	https://doi.org/10.1016/j.jpaa.2012.03.032
Publication status	Published - Dec 2012

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title = "Euler characteristics and M{\"o}bius algebras of p-subgroup categories",

abstract = "Let G be a finite group and p a prime number. We compute the Euler characteristicin the sense of Leinster for some categories of nonidentity p-subgroups of G. The p-subgroup categories considered include the Brown poset S G *, the transporter category T G *, the linking category L G *, the Frobenius, or fusion, category F G *, and the orbit category O G * of all nonidentity p-subgroups of G.",

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T1 - Euler characteristics and Möbius algebras of p-subgroup categories

AU - Jacobsen, Martin Wedel

AU - Møller, Jesper Michael

PY - 2012/12

Y1 - 2012/12

N2 - Let G be a finite group and p a prime number. We compute the Euler characteristicin the sense of Leinster for some categories of nonidentity p-subgroups of G. The p-subgroup categories considered include the Brown poset S G *, the transporter category T G *, the linking category L G *, the Frobenius, or fusion, category F G *, and the orbit category O G * of all nonidentity p-subgroups of G.

AB - Let G be a finite group and p a prime number. We compute the Euler characteristicin the sense of Leinster for some categories of nonidentity p-subgroups of G. The p-subgroup categories considered include the Brown poset S G *, the transporter category T G *, the linking category L G *, the Frobenius, or fusion, category F G *, and the orbit category O G * of all nonidentity p-subgroups of G.

U2 - 10.1016/j.jpaa.2012.03.032

DO - 10.1016/j.jpaa.2012.03.032

M3 - Journal article

SN - 0022-4049

VL - 216

SP - 2665

EP - 2696

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 12

ER -

Euler characteristics and Möbius algebras of p-subgroup categories

Abstract

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