Maximal length parabolic subgroups in finite Coxeter groups

Sarah B. Hart; Peter J. Rowley

Maximal length parabolic subgroups in finite Coxeter groups

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

Abstract

Let W be a finite irreducible Coxeter group. The aim of this paper is to describe the parabolic subgroups which have maximal length in their W-conjugacy class.

Original language	English
Pages (from-to)	185-202
Number of pages	18
Journal	JP Journal of Algebra, Number Theory and Applications
Volume	24
Issue number	2
Publication status	Published - 30 Nov 2012

Keywords

Coxeter groups
length function
parabolic subgroups

Cite this

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title = "Maximal length parabolic subgroups in finite Coxeter groups",

abstract = "Let W be a finite irreducible Coxeter group. The aim of this paper is to describe the parabolic subgroups which have maximal length in their W-conjugacy class.",

keywords = "Coxeter groups, length function, parabolic subgroups",

author = "Hart, {Sarah B.} and Rowley, {Peter J.}",

year = "2012",

month = nov,

day = "30",

language = "English",

volume = "24",

pages = "185--202",

journal = "JP Journal of Algebra, Number Theory and Applications",

issn = "0972-5555",

publisher = "Pushpa Publishing House",

number = "2",

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TY - JOUR

T1 - Maximal length parabolic subgroups in finite Coxeter groups

AU - Hart, Sarah B.

AU - Rowley, Peter J.

PY - 2012/11/30

Y1 - 2012/11/30

N2 - Let W be a finite irreducible Coxeter group. The aim of this paper is to describe the parabolic subgroups which have maximal length in their W-conjugacy class.

AB - Let W be a finite irreducible Coxeter group. The aim of this paper is to describe the parabolic subgroups which have maximal length in their W-conjugacy class.

KW - Coxeter groups

KW - length function

KW - parabolic subgroups

M3 - Article

SN - 0972-5555

VL - 24

SP - 185

EP - 202

JO - JP Journal of Algebra, Number Theory and Applications

JF - JP Journal of Algebra, Number Theory and Applications

IS - 2

ER -

Maximal length parabolic subgroups in finite Coxeter groups

Abstract

Keywords

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