Irreducible \((2,3,7)\)-subgroups of \(\text{PGL}_n(\mathbb{F})\), \(n\leqslant 7\). II.

DOI10.1016/j.jalgebra.2008.11.038zbMath1180.20030OpenAlexW2119240466MaRDI QIDQ1024381

Maria Chiara Tamburini, Maxim Vsemirnov

Publication date: 17 June 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.11.038

zbMATH Keywords

rigidityirreducible subgroupsprojective general linear groupsHurwitz groups\((2,3,7)\)-groupsHurwitz generations

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Other matrix groups over fields (20H20)

Related Items (4)

Hurwitz Generation of PS_p6(q) ⋮ Finite simple groups of low rank: Hurwitz generation and (2,3)-generation ⋮ Scott's formula and Hurwitz groups. ⋮ Corrigendum to ``Irreducible \((2,3,7)\)-subgroups of \(\text{PGL}_n(\mathbb{F})\), \(n\leqslant 7\).

Uses Software

• Magma
• JanetOre

Cites Work

• Unnamed Item
• Groups \(G_2(p)\) as quotients of \((2,3,7;2p)\).
• Matrices and cohomology
• The Magma algebra system. I: The user language
• Representations, commutative algebra, and Hurwitz groups.
• Irreducible \((2,3,7)\)-subgroups of \(\text{PGL}_n(\mathbb{F})\), \(n\leqslant 7\).
• Hurwitz Groups and G₂(q)
• On non-Hurwitz groups and non-congruence subgroups of the modular group
• On hurwitz groups of low rank

This page was built for publication: Irreducible \((2,3,7)\)-subgroups of \(\text{PGL}_n(\mathbb{F})\), \(n\leqslant 7\). II.