Finding supercharacter theories on character tables
نویسندگان
چکیده
We describe an easy way how to find supercharacter theories for a finite group, if its character table is known. Namely, we show arbitrary partition of the conjugacy classes or irreducible characters can be refined coarsest that belongs theory. Our constructions emphasize duality between superclasses and supercharacters. An algorithm presented all on given table. The used compute number some nonabelian simple groups with up 26 classes.
منابع مشابه
Construction of supercharacter theories of finite groups
Much can be learned about a finite group from its character table, but sometimes that table can be difficult to compute. Supercharacter theories are generalizations of character theory, defined by P. Diaconis and I.M. Isaacs in [8], in which certain (possibly reducible) characters called supercharacters take the place of the irreducible characters, and a certain coarser partition of the group t...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2021
ISSN: ['1532-4125', '0092-7872']
DOI: https://doi.org/10.1080/00927872.2020.1864391