Scott's formula and Hurwitz groups

Marco Antonio Pellegrini; Maria Clara Tamburini Bellani

doi:10.1016/j.jalgebra.2015.07.011

Scott's formula and Hurwitz groups

Marco Antonio Pellegrini^*
, Maria Clara Tamburini Bellani

^*Autore corrispondente per questo lavoro

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

2 Citazioni (Scopus)

Abstract

This paper continues previous work, based on systematic use of a formula of L. Scott, to detect Hurwitz groups. It closes the problem of determining the finite simple groups contained in PGL_n(F) for n ≤ 7 which are Hurwitz, where F is an algebraically closed field. For the groups G2(q), q ≥ 5, and the Janko groups J_1 and J_2 it provides explicit (2, 3, 7)-generators.

Lingua originale	Inglese
pagine (da-a)	126-141
Numero di pagine	16
Rivista	Journal of Algebra
Volume	443
Numero di pubblicazione	N/A
DOI	https://doi.org/10.1016/j.jalgebra.2015.07.011
Stato di pubblicazione	Pubblicato - 2015

All Science Journal Classification (ASJC) codes

Algebra e Teoria dei Numeri

Keywords

G2(F)
Hurwitz generations
Trilinear forms

Accesso al documento

10.1016/j.jalgebra.2015.07.011

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title = "Scott's formula and Hurwitz groups",

abstract = "This paper continues previous work, based on systematic use of a formula of L. Scott, to detect Hurwitz groups. It closes the problem of determining the finite simple groups contained in PGL\_n(F) for n ≤ 7 which are Hurwitz, where F is an algebraically closed field. For the groups G2(q), q ≥ 5, and the Janko groups J\_1 and J\_2 it provides explicit (2, 3, 7)-generators.",

keywords = "G2(F), Hurwitz generations, Trilinear forms, G2(F), Hurwitz generations, Trilinear forms",

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

year = "2015",

doi = "10.1016/j.jalgebra.2015.07.011",

language = "English",

volume = "443",

pages = "126--141",

journal = "Journal of Algebra",

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T1 - Scott's formula and Hurwitz groups

AU - Pellegrini, Marco Antonio

AU - Tamburini Bellani, Maria Clara

PY - 2015

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N2 - This paper continues previous work, based on systematic use of a formula of L. Scott, to detect Hurwitz groups. It closes the problem of determining the finite simple groups contained in PGL_n(F) for n ≤ 7 which are Hurwitz, where F is an algebraically closed field. For the groups G2(q), q ≥ 5, and the Janko groups J_1 and J_2 it provides explicit (2, 3, 7)-generators.

AB - This paper continues previous work, based on systematic use of a formula of L. Scott, to detect Hurwitz groups. It closes the problem of determining the finite simple groups contained in PGL_n(F) for n ≤ 7 which are Hurwitz, where F is an algebraically closed field. For the groups G2(q), q ≥ 5, and the Janko groups J_1 and J_2 it provides explicit (2, 3, 7)-generators.

KW - G2(F)

KW - Hurwitz generations

KW - Trilinear forms

KW - G2(F)

KW - Hurwitz generations

KW - Trilinear forms

UR - https://publicatt.unicatt.it/handle/10807/68317

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DO - 10.1016/j.jalgebra.2015.07.011

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SN - 0021-8693

VL - 443

SP - 126

EP - 141

JO - Journal of Algebra

JF - Journal of Algebra

IS - N/A

ER -

Scott's formula and Hurwitz groups

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Accesso al documento

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