Geodesic
Hurwitz Groups and G2(q)
Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 349-357

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DOI

Finite factor groups of are called Hurwitz groups. Here we prove that apart from 2G2(3), G2(2), G2(3) and G2(4), all the groups 2G2(32n+1) and G2(q), q = pn, p € P, are Hurwitz groups. For the proof, (2, 3, 7) structure constants are calculated from the character tables [2], [7], and then with the lists of maximal subgroups [8], [5], the existence of generating triples is deduced.
DOI : 10.4153/CMB-1990-059-8
Mots-clés : 20F05, 30F35 
Malle, Gunter. Hurwitz Groups and G2(q). Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 349-357. doi: 10.4153/CMB-1990-059-8
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     title = {Hurwitz {Groups} and {G2(q)}},
     journal = {Canadian mathematical bulletin},
     pages = {349--357},
     year = {1990},
     volume = {33},
     number = {3},
     doi = {10.4153/CMB-1990-059-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-059-8/}
}
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