Hurwitz Groups and Hurwitz Generation

DOI10.1016/S1570-7954(06)80010-0zbMath1210.20033OpenAlexW8752886MaRDI QIDQ3053884

Maxim Vsemirnov, Maria Chiara Tamburini

Publication date: 30 October 2010

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

Full work available at URL: https://doi.org/10.1016/s1570-7954(06)80010-0

zbMATH Keywords

presentationsalternating groupsclassical groupsfinite quasi-simple groupstriangle groupsHurwitz groups\((2,3,7)\)-generated groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items

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, Hurwitz generation in groups of types \(F_4\), \(E_6\), \(^2E_6\), \(E_7\) and \(E_8\), 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 triangle generation of finite groups of Lie type, Applications of character theory of finite simple groups, Probabilistic and Asymptotic Aspects of Finite Simple Groups, Beauville Surfaces and Probabilistic Group Theory, Non-Hurwitz Classical Groups

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