On Brauer indecomposability of Scott modules of Park-type groups
On Brauer indecomposability of Scott modules of Park-type groups
复制标题
论Park型群的Scott模的布劳尔不可分解性
DOI：
10.1515/jgt-2014-0018
复制
发表时间：
2014
影响因子：
0.5
通讯作者：
Ipek Tuvay
中科院分区：
文献类型：
--
作者：
Ipek Tuvay
设p是素数，G是有限群，P是G的p-子群，k是特征为p的代数闭域.在融合系统的背景下，我们证明了具有顶点P的kG-Scott模对于与Park构造的群密切相关的某些群族是Brauer不可分解的.
Abstract Let p be a prime number, G be a finite group, P be a p-subgroup of G, and k be an algebraically closed field of characteristic p. We prove that the kG-Scott module with vertex P is Brauer indecomposable for some families of groups closely related to groups constructed by Park in the context of fusion systems.