The (2, 3)-generation of the finite 8-dimensional orthogonal groups

Marco Antonio Pellegrini; Maria Clara Tamburini Bellani

doi:10.1515/jgth-2022-0001

The (2, 3)-generation of the finite 8-dimensional orthogonal groups

Marco Antonio Pellegrini^*
, Maria Clara Tamburini Bellani

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

We construct (2,3) -generators for the finite 8-dimensional orthogonal groups, proving the following results: the groups Ω+8(q) and PΩ+8(q) are (2,3) -generated if and only if q≥4 ; the groups Ω−8(q) and PΩ−8(q) are (2,3) -generated for all q≥2

Lingua originale	Inglese
pagine (da-a)	333-356
Numero di pagine	24
Rivista	Journal of Group Theory
Volume	0
DOI	https://doi.org/10.1515/jgth-2022-0001
Stato di pubblicazione	Pubblicato - 2023

Keywords

Orthogonal group
generation
simple group

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10.1515/jgth-2022-0001

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title = "The (2, 3)-generation of the finite 8-dimensional orthogonal groups",

abstract = "We construct (2,3) -generators for the finite 8-dimensional orthogonal groups, proving the following results: the groups Ω+8(q) and PΩ+8(q) are (2,3) -generated if and only if q≥4 ; the groups Ω−8(q) and PΩ−8(q) are (2,3) -generated for all q≥2",

keywords = "Orthogonal group, generation, simple group, Orthogonal group, generation, simple group",

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

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T1 - The (2, 3)-generation of the finite 8-dimensional orthogonal groups

AU - Pellegrini, Marco Antonio

AU - Tamburini Bellani, Maria Clara

PY - 2023

Y1 - 2023

N2 - We construct (2,3) -generators for the finite 8-dimensional orthogonal groups, proving the following results: the groups Ω+8(q) and PΩ+8(q) are (2,3) -generated if and only if q≥4 ; the groups Ω−8(q) and PΩ−8(q) are (2,3) -generated for all q≥2

AB - We construct (2,3) -generators for the finite 8-dimensional orthogonal groups, proving the following results: the groups Ω+8(q) and PΩ+8(q) are (2,3) -generated if and only if q≥4 ; the groups Ω−8(q) and PΩ−8(q) are (2,3) -generated for all q≥2

KW - Orthogonal group

KW - generation

KW - simple group

KW - Orthogonal group

KW - generation

KW - simple group

UR - http://hdl.handle.net/10807/226911

U2 - 10.1515/jgth-2022-0001

DO - 10.1515/jgth-2022-0001

M3 - Article

SN - 1433-5883

VL - 0

SP - 333

EP - 356

JO - Journal of Group Theory

JF - Journal of Group Theory

ER -

The (2, 3)-generation of the finite 8-dimensional orthogonal groups

Abstract

Keywords

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