THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7

Marco Antonio Pellegrini

doi:10.1017/S0004972715000763

THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7

Marco Antonio Pellegrini

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

7 Citazioni (Scopus)

Abstract

In this paper, we prove that the finite simple groups PSp_6(q), Omega_7(q) and PSU_7(q^2) are (2, 3)-generated for all q. In particular, this result completes the classification of the (2,3)-generated finite classical simple groups up to dimension 7.

Lingua originale	English
pagine (da-a)	61-72
Numero di pagine	12
Rivista	Bulletin of the Australian Mathematical Society
Volume	93
DOI	https://doi.org/10.1017/S0004972715000763
Stato di pubblicazione	Pubblicato - 2016

Keywords

classical groups
generation

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10.1017/S0004972715000763

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title = "THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7",

abstract = "In this paper, we prove that the finite simple groups PSp_6(q), Omega_7(q) and PSU_7(q^2) are (2, 3)-generated for all q. In particular, this result completes the classification of the (2,3)-generated finite classical simple groups up to dimension 7.",

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year = "2016",

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journal = "Bulletin of the Australian Mathematical Society",

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AB - In this paper, we prove that the finite simple groups PSp_6(q), Omega_7(q) and PSU_7(q^2) are (2, 3)-generated for all q. In particular, this result completes the classification of the (2,3)-generated finite classical simple groups up to dimension 7.

KW - classical groups

KW - generation

KW - classical groups

KW - generation

UR - http://hdl.handle.net/10807/70610

U2 - 10.1017/S0004972715000763

DO - 10.1017/S0004972715000763

M3 - Article

SN - 0004-9727

VL - 93

SP - 61

EP - 72

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

ER -

THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7

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Keywords

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