Multiplicity-free permutation characters of covering groups of sporadic simple groups

S. A. Linton; Z. E. Mpono

Multiplicity-free permutation characters of covering groups of sporadic simple groups

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

Abstract

In this paper we classify all multiplicity-free faithful permutation representations of the covering groups of the sporadic simple groups. These results were obtained computationally, making extensive use of the GAP library of character tables.

Original language	English
Pages (from-to)	145-155
Number of pages	11
Journal	Math. J. Okayama Univ.
Volume	55
Publication status	Published - 2013

Keywords

Multiplicity-free faithful permutation representations
Covering groups of the sporadic simple groups

Cite this

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title = "Multiplicity-free permutation characters of covering groups of sporadic simple groups",

abstract = "In this paper we classify all multiplicity-free faithful permutation representations of the covering groups of the sporadic simple groups. These results were obtained computationally, making extensive use of the GAP library of character tables.",

keywords = "Multiplicity-free faithful permutation representations, Covering groups of the sporadic simple groups",

author = "Linton, {S. A.} and Mpono, {Z. E.}",

year = "2013",

language = "English",

volume = "55",

pages = "145--155",

journal = "Math. J. Okayama Univ.",

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T1 - Multiplicity-free permutation characters of covering groups of sporadic simple groups

AU - Linton, S. A.

AU - Mpono, Z. E.

PY - 2013

Y1 - 2013

N2 - In this paper we classify all multiplicity-free faithful permutation representations of the covering groups of the sporadic simple groups. These results were obtained computationally, making extensive use of the GAP library of character tables.

AB - In this paper we classify all multiplicity-free faithful permutation representations of the covering groups of the sporadic simple groups. These results were obtained computationally, making extensive use of the GAP library of character tables.

KW - Multiplicity-free faithful permutation representations

KW - Covering groups of the sporadic simple groups

UR - http://www.math.okayama-u.ac.jp/mjou/mjou55/_06_miyahara.pdf

M3 - Article

SN - 0030-1566

VL - 55

SP - 145

EP - 155

JO - Math. J. Okayama Univ.

JF - Math. J. Okayama Univ.

ER -

Multiplicity-free permutation characters of covering groups of sporadic simple groups

Abstract

Keywords

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