On irreducible products of characters

Gabriel Navarro; Pham Huu Tiep

doi:10.1016/j.jalgebra.2020.12.028

On irreducible products of characters

Gabriel Navarro, Pham Huu Tiep

Mathematics

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

1 Scopus citations

Abstract

We study the problem when the product of two non-linear Galois conjugate characters of a finite group is irreducible. We also prove new results on irreducible tensor products of cross-characteristic Brauer characters of quasisimple groups of Lie type.

Original language	English (US)
Pages (from-to)	38-55
Number of pages	18
Journal	Journal of Algebra
Volume	573
DOIs	https://doi.org/10.1016/j.jalgebra.2020.12.028
State	Published - May 1 2021

Keywords

Galois conjugates
Products of characters
Tensor products of modules

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2020.12.028

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title = "On irreducible products of characters",

abstract = "We study the problem when the product of two non-linear Galois conjugate characters of a finite group is irreducible. We also prove new results on irreducible tensor products of cross-characteristic Brauer characters of quasisimple groups of Lie type.",

keywords = "Galois conjugates, Products of characters, Tensor products of modules",

author = "Gabriel Navarro and Tiep, \{Pham Huu\}",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2021",

month = may,

day = "1",

doi = "10.1016/j.jalgebra.2020.12.028",

language = "English (US)",

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AU - Navarro, Gabriel

AU - Tiep, Pham Huu

PY - 2021/5/1

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N2 - We study the problem when the product of two non-linear Galois conjugate characters of a finite group is irreducible. We also prove new results on irreducible tensor products of cross-characteristic Brauer characters of quasisimple groups of Lie type.

AB - We study the problem when the product of two non-linear Galois conjugate characters of a finite group is irreducible. We also prove new results on irreducible tensor products of cross-characteristic Brauer characters of quasisimple groups of Lie type.

KW - Galois conjugates

KW - Products of characters

KW - Tensor products of modules

UR - https://www.scopus.com/pages/publications/85099596200

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U2 - 10.1016/j.jalgebra.2020.12.028

DO - 10.1016/j.jalgebra.2020.12.028

M3 - Article

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SN - 0021-8693

VL - 573

SP - 38

EP - 55

JO - Journal of Algebra

JF - Journal of Algebra

ER -

On irreducible products of characters

Abstract

Keywords

ASJC Scopus subject areas

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