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Groups \(G_2(p)\) as quotients of \((2,3,7;2p)\).

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Publication:862273
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DOI10.1007/s00031-004-1113-yzbMath1111.20019OpenAlexW2068033298MaRDI QIDQ862273

Maxim Vsemirnov

Publication date: 24 January 2007

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00031-004-1113-y


zbMATH Keywords

groups of Lie typegenerators and relationsHurwitz groups


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Simple groups: alternating groups and groups of Lie type (20D06)


Related Items (5)

On the primitive divisors of the recurrent sequence \(u_{n+1}=(4\cos^2(2\pi/7)-1)u_{n}-u_{n-1}\) with applications to group theory ⋮ Finite simple groups of low rank: Hurwitz generation and (2,3)-generation ⋮ An update on Hurwitz groups ⋮ Irreducible \((2,3,7)\)-subgroups of \(\text{PGL}_n(\mathbb{F})\), \(n\leqslant 7\). ⋮ Irreducible \((2,3,7)\)-subgroups of \(\text{PGL}_n(\mathbb{F})\), \(n\leqslant 7\). II.




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