MINIMAL IRREDUCIBILITY AND THE UNIPOTENT CHARACTERS OF GROUPS OF TYPE B_m AND C_m

L. Di Martino; Marco Antonio Pellegrini; T. H. Weigel

doi:10.1142/S0219498809003412

MINIMAL IRREDUCIBILITY AND THE UNIPOTENT CHARACTERS OF GROUPS OF TYPE B_m AND C_m

L. Di Martino
, Marco Antonio Pellegrini
, T. H. Weigel

University of Milan - Bicocca

Risultato della ricerca: Contributo in rivista › Articolo › peer review

2 Citazioni (Scopus)

Abstract

In this paper we prove that the (non-trivial) irreducible complex unipotent characters of a finite classical group G of type B_m or C_m in odd characteristic are reducible over any proper subgroup of G, apart from very few notable exceptions.

Lingua originale	Inglese
pagine (da-a)	413-451
Numero di pagine	39
Rivista	Journal of Algebra and Its Applications
Volume	08
DOI	https://doi.org/10.1142/S0219498809003412
Stato di pubblicazione	Pubblicato - 2009

Keywords

Classical groups
Finite groups of Lie type
Unipotent characters

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10.1142/S0219498809003412

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title = "MINIMAL IRREDUCIBILITY AND THE UNIPOTENT CHARACTERS OF GROUPS OF TYPE B\_m AND C\_m",

abstract = "In this paper we prove that the (non-trivial) irreducible complex unipotent characters of a finite classical group G of type B\_m or C\_m in odd characteristic are reducible over any proper subgroup of G, apart from very few notable exceptions.",

keywords = "Classical groups, Finite groups of Lie type, Unipotent characters, Classical groups, Finite groups of Lie type, Unipotent characters",

author = "\{Di Martino\}, L. and Pellegrini, \{Marco Antonio\} and Weigel, \{T. H.\}",

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AU - Pellegrini, Marco Antonio

AU - Weigel, T. H.

PY - 2009

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AB - In this paper we prove that the (non-trivial) irreducible complex unipotent characters of a finite classical group G of type B_m or C_m in odd characteristic are reducible over any proper subgroup of G, apart from very few notable exceptions.

KW - Classical groups

KW - Finite groups of Lie type

KW - Unipotent characters

KW - Classical groups

KW - Finite groups of Lie type

KW - Unipotent characters

UR - http://hdl.handle.net/10807/55558

U2 - 10.1142/S0219498809003412

DO - 10.1142/S0219498809003412

M3 - Article

SN - 0219-4988

VL - 08

SP - 413

EP - 451

JO - Journal of Algebra and Its Applications

JF - Journal of Algebra and Its Applications

ER -

MINIMAL IRREDUCIBILITY AND THE UNIPOTENT CHARACTERS OF GROUPS OF TYPE B_m AND C_m

Abstract

Keywords

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