Enumerating big orbits and an application: B acting on the cosets of Fi23

J Mueller; Max Neunhoeffer; R A Wilson

doi:10.1016/j.jalgebra.2007.03.038

Enumerating big orbits and an application: B acting on the cosets of Fi₂₃

J Mueller, Max Neunhoeffer, R A Wilson

Pure Mathematics

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

Abstract

We describe a novel technique to handle big permutation domains for large groups. It is applied to the multiplicity-free action of the sporadic simple Baby Monster group on the cosets of its maximal subgroup Fi(23), to determine the character table of the associated endomorphism ring. (c) 2007 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	75-96
Number of pages	22
Journal	Journal of Algebra
Volume	314
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2007.03.038
Publication status	Published - 1 Aug 2007

Keywords

permutation groups
orbit enumeration
multiplicity-free action
character tables
sporadic simple baby
monster group
SPORADIC SIMPLE-GROUPS
CONDENSATION

Access to Document

10.1016/j.jalgebra.2007.03.038

Cite this

@article{1f1aff16c0a8455a86dc204470a1a0bc,

title = "Enumerating big orbits and an application: B acting on the cosets of Fi23",

abstract = "We describe a novel technique to handle big permutation domains for large groups. It is applied to the multiplicity-free action of the sporadic simple Baby Monster group on the cosets of its maximal subgroup Fi(23), to determine the character table of the associated endomorphism ring. (c) 2007 Elsevier Inc. All rights reserved.",

keywords = "permutation groups, orbit enumeration, multiplicity-free action, character tables, sporadic simple baby, monster group, SPORADIC SIMPLE-GROUPS, CONDENSATION",

author = "J Mueller and Max Neunhoeffer and Wilson, \{R A\}",

year = "2007",

month = aug,

day = "1",

doi = "10.1016/j.jalgebra.2007.03.038",

language = "English",

volume = "314",

pages = "75--96",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press/Elsevier ",

number = "1",

}

TY - JOUR

T1 - Enumerating big orbits and an application: B acting on the cosets of Fi23

AU - Mueller, J

AU - Neunhoeffer, Max

AU - Wilson, R A

PY - 2007/8/1

Y1 - 2007/8/1

N2 - We describe a novel technique to handle big permutation domains for large groups. It is applied to the multiplicity-free action of the sporadic simple Baby Monster group on the cosets of its maximal subgroup Fi(23), to determine the character table of the associated endomorphism ring. (c) 2007 Elsevier Inc. All rights reserved.

AB - We describe a novel technique to handle big permutation domains for large groups. It is applied to the multiplicity-free action of the sporadic simple Baby Monster group on the cosets of its maximal subgroup Fi(23), to determine the character table of the associated endomorphism ring. (c) 2007 Elsevier Inc. All rights reserved.

KW - permutation groups

KW - orbit enumeration

KW - multiplicity-free action

KW - character tables

KW - sporadic simple baby

KW - monster group

KW - SPORADIC SIMPLE-GROUPS

KW - CONDENSATION

UR - https://www.scopus.com/pages/publications/34249034380

UR - http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WH2-4NG3TD9-2&_user=1026342&_coverDate=08%2F01%2F2007&_alid=612162468&_rdoc=1&_fmt=full&_orig=search&_cdi=6838&_sort=d&_docanchor=&view=c&_ct=3&_acct=C000050565&_version=1&_urlVersion=0&_userid=1026342&md5=9a0c2eec61fc9e76afa3334bcc23096f

U2 - 10.1016/j.jalgebra.2007.03.038

DO - 10.1016/j.jalgebra.2007.03.038

M3 - Article

SN - 0021-8693

VL - 314

SP - 75

EP - 96

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Enumerating big orbits and an application: B acting on the cosets of Fi₂₃

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this