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 ≤ 7 which are Hurwitz, where F is an algebraically closed field. For the groups G2(q), q ≥ 5, and the Janko groups J_1 and J_2 it provides explicit (2, 3, 7)-generators.
Lingua originale | English |
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pagine (da-a) | 126-141 |
Numero di pagine | 16 |
Rivista | Journal of Algebra |
Volume | 443 |
DOI | |
Stato di pubblicazione | Pubblicato - 2015 |
Keywords
- G2(F)
- Hurwitz generations
- Trilinear forms