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arXiv · 1501.07495

Scott's formula and Hurwitz groups

M. A. Pellegrini·M. C. Tamburini Bellani
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Abstract

This paper continues previous work, based on systematic use of a formula of L. Scott, to detect Hurwitz groups. It closes the problem of determining the finite simple groups contained in $PGL_n(F)$ for $n\leq 7$ which are Hurwitz, where $F$ is an algebraically closed field. For the groups $G_2(q)$, $q\geq 5$, and the Janko groups $J_1$ and $J_2$ it provides explicit $(2,3,7)$-generators.

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BibTeXRIS

M. A. Pellegrini, M. C. Tamburini Bellani. 2015-01-29. Scott's formula and Hurwitz groups. https://doi.org/10.1016/j.jalgebra.2015.07.011

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