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

Marco Antonio Pellegrini; Maria Clara Tamburini Bellani

doi:10.1016/j.jalgebra.2020.01.001

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

Marco Antonio Pellegrini, Maria Clara Tamburini Bellani

Risultato della ricerca: Contributo in rivista › Articolo in rivista › 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	English
pagine (da-a)	319-345
Numero di pagine	27
Rivista	Journal of Algebra
Volume	549
DOI	https://doi.org/10.1016/j.jalgebra.2020.01.001
Stato di pubblicazione	Pubblicato - 2020

Keywords

Generation
Simple group
Unitary group

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10.1016/j.jalgebra.2020.01.001

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keywords = "Generation, Simple group, Unitary group, Generation, Simple group, Unitary group",

author = "Pellegrini, {Marco Antonio} and {Tamburini Bellani}, {Maria Clara}",

year = "2020",

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AU - Tamburini Bellani, Maria Clara

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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).

KW - Generation

KW - Simple group

KW - Unitary group

KW - Generation

KW - Simple group

KW - Unitary group

UR - http://hdl.handle.net/10807/150157

U2 - 10.1016/j.jalgebra.2020.01.001

DO - 10.1016/j.jalgebra.2020.01.001

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VL - 549

SP - 319

EP - 345

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

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

Abstract

Keywords

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