Speaker：Lei Wang（Yunan University）

Time：2022-12-21, 15:00

Location：Tencent Meeting ID：755-059-3114（No Password）

Abstract:

Let G be a finite quasisimple group. A factorization of G is an expression of the form G=HK, where the factors H and K are nontrivial subgroups. In a recent paper, Tim and Li gives some factorizations of almost simple groups with a solvable factor H, and determine the exact factorizations with a solvable factor. Building on this earlier work, we compute all irreducible submodules of H on the unipotent radical, and determine almost all minimal factorizations with a solvable factor, extending the results of Tim and Li. In particular, we complement the work of Tim and Li about all exact factorizations of G with a solvable factor.