The probability of generating a finite classical group

Abstract Two randomly chosen elements of a finite simple classical group G are shown to generate G with probability →1 as ‖G‖ → ∞. Extensions of this result are presented, along with applications to profinite groups.

Gespeichert in:

Autor*in:	Kantor, William M. [verfasserIn] Lubotzky, Alexander

Format:	Artikel
Sprache:	Englisch

Erschienen:	1990

Schlagwörter:	Classical Group Finite Classical Group Simple Classical Group Finite Simple Classical Group

Anmerkung:	© Kluwer Academic Publishers 1990

Übergeordnetes Werk:	Enthalten in: Geometriae dedicata - Kluwer Academic Publishers, 1972, 36(1990), 1 vom: Okt., Seite 67-87
Übergeordnetes Werk:	volume:36 ; year:1990 ; number:1 ; month:10 ; pages:67-87

Links:	Volltext

DOI / URN:	10.1007/BF00181465

Katalog-ID:	OLC2039038906

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title_auth	The probability of generating a finite classical group
abstract	Abstract Two randomly chosen elements of a finite simple classical group G are shown to generate G with probability →1 as ‖G‖ → ∞. Extensions of this result are presented, along with applications to profinite groups. © Kluwer Academic Publishers 1990
abstractGer	Abstract Two randomly chosen elements of a finite simple classical group G are shown to generate G with probability →1 as ‖G‖ → ∞. Extensions of this result are presented, along with applications to profinite groups. © Kluwer Academic Publishers 1990
abstract_unstemmed	Abstract Two randomly chosen elements of a finite simple classical group G are shown to generate G with probability →1 as ‖G‖ → ∞. Extensions of this result are presented, along with applications to profinite groups. © Kluwer Academic Publishers 1990
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The probability of generating a finite classical group

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