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

^*Corresponding author

Research output: Contribution to journal › Article › 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).

Original language	English
Pages (from-to)	319-345
Number of pages	27
Journal	Journal of Algebra
Volume	549
Issue number	N/A
DOIs	https://doi.org/10.1016/j.jalgebra.2020.01.001
Publication status	Published - 2020

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Generation
Simple group
Unitary group

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10.1016/j.jalgebra.2020.01.001

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author = "Pellegrini, \{Marco Antonio\} and Tamburini, \{Bellani M. C.\}",

year = "2020",

doi = "10.1016/j.jalgebra.2020.01.001",

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pages = "319--345",

journal = "Journal of Algebra",

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AU - Tamburini, Bellani M. C.

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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

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EP - 345

JO - Journal of Algebra

JF - Journal of Algebra

IS - N/A

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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