Let G be a finite group and C(G) be the family of representative conjugacy classes of subgroups of G. The matrix whose H,K-entry is the number of fixed points of the set G/K under the action of H is called the table of marks of G where H,K run through all elements in C(G). Shinsaku Fujita for the first time introduced the term “markaracter” to discuss marks for permutation representations and characters for linear representations in a common basis. In this paper, we compute these tables for some classes of finite groups.
Ghorbani,M . (2016). On the Mark and Markaracter Tables of Finite Groups. Iranian Journal of Mathematical Chemistry, 7(2), 253-266. doi: 10.22052/ijmc.2016.15096
MLA
Ghorbani,M . "On the Mark and Markaracter Tables of Finite Groups", Iranian Journal of Mathematical Chemistry, 7, 2, 2016, 253-266. doi: 10.22052/ijmc.2016.15096
HARVARD
Ghorbani M. (2016). 'On the Mark and Markaracter Tables of Finite Groups', Iranian Journal of Mathematical Chemistry, 7(2), pp. 253-266. doi: 10.22052/ijmc.2016.15096
CHICAGO
M Ghorbani, "On the Mark and Markaracter Tables of Finite Groups," Iranian Journal of Mathematical Chemistry, 7 2 (2016): 253-266, doi: 10.22052/ijmc.2016.15096
VANCOUVER
Ghorbani M. On the Mark and Markaracter Tables of Finite Groups. Iranian J. Math. Chem.. 2016;7(2):253-266. doi: 10.22052/ijmc.2016.15096
