Normal supercharacter theory of the dihedral groups | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 9، دوره 4، شماره 1، 2023، صفحه 79-85 اصل مقاله (370.17 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2022.21268.1082 | ||
| نویسنده | ||
| Hadiseh Saydi* | ||
| Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran | ||
| چکیده | ||
| Diaconis and Isaacs defined the supercharacter theory for finite groups as a natural generalization of the classical ordinary character theory of finite groups. Supercharacter theory of many finite groups such as the cyclic groups, the Frobenius groups, etc. were well studied and well-known. In this paper we find the normal and automorphic supercharacter theories of the dihedral groups in special cases. | ||
| کلیدواژهها | ||
| Dihedral group؛ Supercharacter؛ Superclass؛ Lattice of normal subgroups | ||
| مراجع | ||
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