论文标题
迈向三个转移组的标准主要表示
Towards the standard Majorana representations of 3-transposition groups
论文作者
论文摘要
在本文中,我们讨论了三个转移组。特别是,我们发现在Fischer列表中的组的最大对称亚组的大小。此外,我们在正交,符号和统一空间中建立了对称群体的忠实表示,从而充分验证了主要结果。因此,我们找到了候选人群体,其中可能能够建立标准的Majorana表示。
In this paper, we discuss 3-transposition groups. In particular, we find sizes of maximal symmetric subgroups of the groups, which are in Fischer list. In addition, we build faithful representations of symmetric groups in orthogonal, symplectic, and unitary spaces, which fully verify the main result. Thus, we find candidate groups, for which one may be able to build standard Majorana representations.