Non-Hurwitz Classical Groups

DOI10.1112/S1461157000001303zbMath1112.20042MaRDI QIDQ3430831

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Publication date: 4 April 2007

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.lms.ac.uk/jcm/10/lms2005-042/

zbMATH Keywords

presentationsspecial unitary groupsclassical groupsfinite groups of Lie typetriangle groupsspecial linear groupsHurwitz groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (10)

Hurwitz Generation of PS_p6(q) ⋮ Hurwitz generation in groups of types \(F_4\), \(E_6\), \(^2E_6\), \(E_7\) and \(E_8\) ⋮ Unisingular representations in arithmetic and Lie theory ⋮ Uniform \((2,k)\)-generation of the 4-dimensional classical groups. ⋮ The (p,q,r)-generations of the alternating group A_11 ⋮ Scott's formula and Hurwitz groups. ⋮ Representations, commutative algebra, and Hurwitz groups. ⋮ Irreducible \((2,3,7)\)-subgroups of \(\text{PGL}_n(\mathbb{F})\), \(n\leqslant 7\). ⋮ On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups. ⋮ Beauville Surfaces and Probabilistic Group Theory

Cites Work

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• On the (2, 3, 7)-Generation of Some Special Linear Groups
• Endliche Gruppen I
• Hurwitz Groups of Intermediate Rank

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