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

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10.1016/j.jalgebra.2007.03.038

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KW - multiplicity-free action

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KW - SPORADIC SIMPLE-GROUPS

KW - CONDENSATION

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

Abstract

Keywords

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