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Hurwitz Groups and G2(q)

Published online by Cambridge University Press:  20 November 2018

Gunter Malle
Gunter Malle*
Affiliation:
Mathematisches Institut der Universität Heidelberg, Im Neuenheimer F eld 288, D - 6900 Heidelberg
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Abstract

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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.

Keywords

20F0530F35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 3 , 01 September 1990 , pp. 349 - 357
Copyright
Copyright © Canadian Mathematical Society 1990

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