Character restrictions and multiplicities in symmetric groups

I. M. Isaacs; Gabriel Navarro; Jørn B. Olsson; Pham Huu Tiep

doi:10.1016/j.jalgebra.2017.01.021

Character restrictions and multiplicities in symmetric groups

I. M. Isaacs, Gabriel Navarro, Jørn B. Olsson, Pham Huu Tiep

Mathematics

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

16 Scopus citations

Abstract

We give natural correspondences of odd-degree characters of the symmetric groups and some of their subgroups, which can be described easily by restriction of characters, degrees and multiplicities.

Original language	English (US)
Pages (from-to)	271-282
Number of pages	12
Journal	Journal of Algebra
Volume	478
DOIs	https://doi.org/10.1016/j.jalgebra.2017.01.021
State	Published - May 15 2017

Keywords

Multiplicities
Natural correspondences
Odd degree characters
Restriction
Symmetric groups

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2017.01.021

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title = "Character restrictions and multiplicities in symmetric groups",

abstract = "We give natural correspondences of odd-degree characters of the symmetric groups and some of their subgroups, which can be described easily by restriction of characters, degrees and multiplicities.",

keywords = "Multiplicities, Natural correspondences, Odd degree characters, Restriction, Symmetric groups",

author = "Isaacs, {I. M.} and Gabriel Navarro and Olsson, {J{\o}rn B.} and Tiep, {Pham Huu}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

month = may,

day = "15",

doi = "10.1016/j.jalgebra.2017.01.021",

language = "English (US)",

volume = "478",

pages = "271--282",

journal = "Journal of Algebra",

issn = "0021-8693",

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T1 - Character restrictions and multiplicities in symmetric groups

AU - Isaacs, I. M.

AU - Navarro, Gabriel

AU - Olsson, Jørn B.

AU - Tiep, Pham Huu

PY - 2017/5/15

Y1 - 2017/5/15

N2 - We give natural correspondences of odd-degree characters of the symmetric groups and some of their subgroups, which can be described easily by restriction of characters, degrees and multiplicities.

AB - We give natural correspondences of odd-degree characters of the symmetric groups and some of their subgroups, which can be described easily by restriction of characters, degrees and multiplicities.

KW - Multiplicities

KW - Natural correspondences

KW - Odd degree characters

KW - Restriction

KW - Symmetric groups

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U2 - 10.1016/j.jalgebra.2017.01.021

DO - 10.1016/j.jalgebra.2017.01.021

M3 - Article

AN - SCOPUS:85011419309

SN - 0021-8693

VL - 478

SP - 271

EP - 282

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Character restrictions and multiplicities in symmetric groups

Abstract

Keywords

ASJC Scopus subject areas

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