Serial Group Rings of Finite Simple Groups of Lie Type
- 作者: Kukharev A.1, Puninski G.2
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隶属关系:
- Department of Mathematics, Vitebsk State University
- Department of Mechanics and Mathematics, Belarusian State University
- 期: 卷 233, 编号 5 (2018)
- 页面: 695-701
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241639
- DOI: https://doi.org/10.1007/s10958-018-3957-z
- ID: 241639
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详细
Suppose that F is a field whose characteristic p divides the order of a finite group G. It is shown that if G is one of the groups 3D4(q), E6(q), 2E6(q), E7(q), E8(q), F4(q), 2F4(q), or 2G2(q), then the group ring FG is not serial. If G = G2(q2), then the ring FG is serial if and only if either p > 2 divides q2− 1, or p = 7 divides \( {q}^2+\sqrt{3q}+1 \) but 49 does not divide this number.
作者简介
A. Kukharev
Department of Mathematics, Vitebsk State University
编辑信件的主要联系方式.
Email: kukharev.av@mail.ru
白俄罗斯, Moscow Avenue 33, Vitebsk, 210038
G. Puninski
Department of Mechanics and Mathematics, Belarusian State University
Email: kukharev.av@mail.ru
白俄罗斯, Nezavisimosti Avenue 4, Minsk, 220030