Uniform (2,k)-generation of the 4-dimensional classical groups

Marco Antonio Pellegrini; Maria Clara Tamburini Bellani; Maxim Vsemirnov; M. A. Vsemirnov

Uniform (2,k)-generation of the 4-dimensional classical groups

Marco Antonio Pellegrini, Maria Clara Tamburini Bellani, Maxim Vsemirnov, M. A. Vsemirnov

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

Abstract

In this paper we study the (2,k)-generation of the finite classical groups SL(4,q), Sp(4,q), SU(4,q^2) and their projective images. Here k is the order of any arbitrary element of SL(2,q), subject to the necessary condition k>2. When q is even we allow also k=4.

Lingua originale	English
pagine (da-a)	322-350
Numero di pagine	29
Rivista	Journal of Algebra
Stato di pubblicazione	Pubblicato - 2012

Keywords

Generation of classical groups

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title = "Uniform (2,k)-generation of the 4-dimensional classical groups",

abstract = "In this paper we study the (2,k)-generation of the finite classical groups SL(4,q), Sp(4,q), SU(4,q^2) and their projective images. Here k is the order of any arbitrary element of SL(2,q), subject to the necessary condition k>2. When q is even we allow also k=4.",

keywords = "Generation of classical groups, Generation of classical groups",

author = "Pellegrini, {Marco Antonio} and {Tamburini Bellani}, {Maria Clara} and Maxim Vsemirnov and Vsemirnov, {M. A.}",

year = "2012",

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AU - Pellegrini, Marco Antonio

AU - Tamburini Bellani, Maria Clara

AU - Vsemirnov, Maxim

AU - Vsemirnov, M. A.

PY - 2012

Y1 - 2012

N2 - In this paper we study the (2,k)-generation of the finite classical groups SL(4,q), Sp(4,q), SU(4,q^2) and their projective images. Here k is the order of any arbitrary element of SL(2,q), subject to the necessary condition k>2. When q is even we allow also k=4.

AB - In this paper we study the (2,k)-generation of the finite classical groups SL(4,q), Sp(4,q), SU(4,q^2) and their projective images. Here k is the order of any arbitrary element of SL(2,q), subject to the necessary condition k>2. When q is even we allow also k=4.

KW - Generation of classical groups

UR - http://hdl.handle.net/10807/27932

M3 - Article

SP - 322

EP - 350

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

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