Irreducible \((2,3,7)\)-subgroups of \(\text{PGL}_n(\mathbb{F})\), \(n\leqslant 7\). II.
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Publication:1024381
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
rigidityirreducible subgroupsprojective general linear groupsHurwitz groups\((2,3,7)\)-groupsHurwitz generations
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 PSp6(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
Cites Work
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- 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
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