The (2,3)-generation of the finite unitary groups

Marco Antonio Pellegrini; Bellani M. C. Tamburini

doi:10.1016/j.jalgebra.2020.01.001

The (2,3)-generation of the finite unitary groups

Marco Antonio Pellegrini^*
, Bellani M. C. Tamburini

^*Autore corrispondente per questo lavoro

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

Abstract

In this paper we prove that the unitary groups SUn(q2) are (2,3)-generated for any prime power q and any integer n≥8. By previous results this implies that, if n≥3, the groups SUn(q2) and PSUn(q2) are (2,3)-generated, except when (n,q)∈(3,2),(3,3),(3,5),(4,2),(4,3),(5,2).

Lingua originale	Inglese
pagine (da-a)	319-345
Numero di pagine	27
Rivista	Journal of Algebra
Volume	549
Numero di pubblicazione	N/A
DOI	https://doi.org/10.1016/j.jalgebra.2020.01.001
Stato di pubblicazione	Pubblicato - 2020

All Science Journal Classification (ASJC) codes

Algebra e Teoria dei Numeri

Keywords

Generation
Simple group
Unitary group

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10.1016/j.jalgebra.2020.01.001

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AB - In this paper we prove that the unitary groups SUn(q2) are (2,3)-generated for any prime power q and any integer n≥8. By previous results this implies that, if n≥3, the groups SUn(q2) and PSUn(q2) are (2,3)-generated, except when (n,q)∈(3,2),(3,3),(3,5),(4,2),(4,3),(5,2).

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KW - Simple group

KW - Unitary group

KW - Generation

KW - Simple group

KW - Unitary group

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The (2,3)-generation of the finite unitary groups

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Accesso al documento

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