On the minimal irreducibility of the unipotent characters of the finite unitary groups

Marco Antonio Pellegrini

doi:10.1142/9789814277808_0015

On the minimal irreducibility of the unipotent characters of the finite unitary groups

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Let G = PSU(n, q) and let chi be a non-trivial unipotent character of G. In this paper, we study when the restriction of chi to H is reducible for any proper subgroup H of G, proving that this is always the case, apart from a few isolated exceptions.

Original language	English
Title of host publication	ISCHIA GROUP THEORY 2008 - Proceedings of the Conference
Pages	209-232
Number of pages	24
DOIs	https://doi.org/10.1142/9789814277808_0015
Publication status	Published - 2009
Event	Ischia Group Theory 2008 - Ischia Duration: 2 Apr 2008 → 4 Apr 2008

Conference

Conference	Ischia Group Theory 2008
City	Ischia
Period	2/4/08 → 4/4/08

Keywords

Unipotent characters
finite unitary groups

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10.1142/9789814277808_0015

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@inproceedings{a94e5d771ed24e0fb0848a6e50df9523,

title = "On the minimal irreducibility of the unipotent characters of the finite unitary groups",

abstract = "Let G = PSU(n, q) and let chi be a non-trivial unipotent character of G. In this paper, we study when the restriction of chi to H is reducible for any proper subgroup H of G, proving that this is always the case, apart from a few isolated exceptions.",

keywords = "Unipotent characters, finite unitary groups, Unipotent characters, finite unitary groups",

author = "Pellegrini, {Marco Antonio}",

year = "2009",

doi = "10.1142/9789814277808_0015",

language = "English",

isbn = "9789814277792",

pages = "209--232",

booktitle = "ISCHIA GROUP THEORY 2008 - Proceedings of the Conference",

note = "Ischia Group Theory 2008 ; Conference date: 02-04-2008 Through 04-04-2008",

}

TY - GEN

T1 - On the minimal irreducibility of the unipotent characters of the finite unitary groups

AU - Pellegrini, Marco Antonio

PY - 2009

Y1 - 2009

N2 - Let G = PSU(n, q) and let chi be a non-trivial unipotent character of G. In this paper, we study when the restriction of chi to H is reducible for any proper subgroup H of G, proving that this is always the case, apart from a few isolated exceptions.

AB - Let G = PSU(n, q) and let chi be a non-trivial unipotent character of G. In this paper, we study when the restriction of chi to H is reducible for any proper subgroup H of G, proving that this is always the case, apart from a few isolated exceptions.

KW - Unipotent characters

KW - finite unitary groups

KW - Unipotent characters

KW - finite unitary groups

UR - http://hdl.handle.net/10807/55554

U2 - 10.1142/9789814277808_0015

DO - 10.1142/9789814277808_0015

M3 - Conference contribution

SN - 9789814277792

SP - 209

EP - 232

BT - ISCHIA GROUP THEORY 2008 - Proceedings of the Conference

T2 - Ischia Group Theory 2008

Y2 - 2 April 2008 through 4 April 2008

ER -

On the minimal irreducibility of the unipotent characters of the finite unitary groups

Abstract

Conference

Keywords

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