Abstract. In this paper, we investigate the Zassenhaus conjecture for exceptional groups of Lie type $G_2(q)$ for $q=\{3,4\}$. Consequently, we prove that the Prime graph question is true for these groups.
DOI: 10.14232/actasm-015-048-6
AMS Subject Classification
(1991): 16S34, 20C05
Keyword(s):
Zassenhaus Conjecture,
torsion unit,
partial augmentation,
integral group ring
Received July 1, 2015, and in revised form November 2, 2015. (Registered under 48/2015.)
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