Let G be a connected reductive group defined over F_q, the finite field with q elements. Let B be a Borel subgroup defined over F_q. In this paper, we completely determine the composition factors of the induced module...Let G be a connected reductive group defined over F_q, the finite field with q elements. Let B be a Borel subgroup defined over F_q. In this paper, we completely determine the composition factors of the induced module M(tr) = kG ■tr(where tr is the trivial B-module) for any field k.展开更多
In this paper, we obtain two results on Brauers k(B) problem about finite groups under some conditions. Furthermore, we obtain that Olssons conjecture holds under the same conditions on the finite groups.
基金supported by National Natural Science Foundation of China (Grant Nos.11501546 and 11671297)。
文摘Let G be a connected reductive group defined over F_q, the finite field with q elements. Let B be a Borel subgroup defined over F_q. In this paper, we completely determine the composition factors of the induced module M(tr) = kG ■tr(where tr is the trivial B-module) for any field k.
文摘In this paper, we obtain two results on Brauers k(B) problem about finite groups under some conditions. Furthermore, we obtain that Olssons conjecture holds under the same conditions on the finite groups.
