In the 1970s—1980s, Chung-mo Kwok, Herzog Marcel, Wright David and Goncalves Adilson proved that PSL(2, 2<sup>m</sup>), G<sub>2</sub>(q), J<sub>1</sub> can be uniquely determin...In the 1970s—1980s, Chung-mo Kwok, Herzog Marcel, Wright David and Goncalves Adilson proved that PSL(2, 2<sup>m</sup>), G<sub>2</sub>(q), J<sub>1</sub> can be uniquely determined by their character table. In this note, we prove Main Theorem. Let G be a finite group, and M be a finite simple group. If G and M have the same character table, then G≌M.展开更多
This paper computes the group and character table of Trimethylborane and Cyclohaxane. Results show that the groups are isomorphic to the wreath products C3wrC2 and C2wrC6 with orders 81 and 384 and with 17 and 28 conj...This paper computes the group and character table of Trimethylborane and Cyclohaxane. Results show that the groups are isomorphic to the wreath products C3wrC2 and C2wrC6 with orders 81 and 384 and with 17 and 28 conjugacy classes respectively, where Cn denotes a cyclic group of order n.展开更多
文摘In the 1970s—1980s, Chung-mo Kwok, Herzog Marcel, Wright David and Goncalves Adilson proved that PSL(2, 2<sup>m</sup>), G<sub>2</sub>(q), J<sub>1</sub> can be uniquely determined by their character table. In this note, we prove Main Theorem. Let G be a finite group, and M be a finite simple group. If G and M have the same character table, then G≌M.
文摘This paper computes the group and character table of Trimethylborane and Cyclohaxane. Results show that the groups are isomorphic to the wreath products C3wrC2 and C2wrC6 with orders 81 and 384 and with 17 and 28 conjugacy classes respectively, where Cn denotes a cyclic group of order n.