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arXiv:1808.03115 [math.RT]AbstractReferencesReviewsResources

Supercharacter theories for Sylow $p$-subgroups of Lie type $G_2$

Yujiao Sun

Published 2018-08-09Version 1

We construct a supercharacter theory, and establish the supercharacter table for Sylow $p$-subgroups $G_2^{syl}(q)$ of the Chevalley groups $G_2(q)$ of Lie type $G_2$ when $p>2$. Then we calculate the conjugacy classes, determine the complex irreducible characters by Clifford theory, and obtain the character tables for $G_2^{syl}(q)$ when $p>3$.

Comments: 31 pages, 8 tables. arXiv admin note: text overlap with arXiv:1611.09287
Categories: math.RT
Subjects: 20C15, 20D15, 20C33, 20D20
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