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
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
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
VANCOUVER
Ghorbani, M. On the Mark and Markaracter Tables of Finite Groups. Iranian Journal of Mathematical Chemistry, 2016; 7(2): 253-266. doi: 10.22052/ijmc.2016.15096
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