caa a22 4500 445869275 CHVBK 20180317145506.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s00605-009-0178-z doi (NATIONALLICENCE)springer-10.1007/s00605-009-0178-z Super-Brauer characters and super-regular classes [Elektronische Daten] [Xiaoyou Chen, Jiwen Zeng] Persi Diaconis and I. M. Isaacs generalized the character theory to super-character theories for an arbitrary finite group (Diaconis and Isaacs, in Trans Am Math Soc 360(5):2359-2392, 2008). In these theories, the irreducible characters are replaced by certain so-called supercharacters, and the conjugacy classes of the group are replaced by superclasses. Also, Diaconis and Isaacs discussed supercharacter theories and gave some properties of them. We consider in this note certain sums of irreducible Brauer characters and compatible unions of regular conjugacy classes in an arbitrary finite group and we give a generalization of the Brauer character theory to super-Brauer character theories. We also discuss super-Brauer character theories and obtain some results which are similar to those of Diaconis and Isaacs. Springer-Verlag, 2009 Super-Brauer character nationallicence Super-regular class nationallicence Chen Xiaoyou School of Mathematical Sciences, Xiamen University, 361005, Xiamen, People's Republic of China aut Zeng Jiwen School of Mathematical Sciences, Xiamen University, 361005, Xiamen, People's Republic of China aut Monatshefte für Mathematik Springer Vienna 163/1(2011-05-01), 15-23 0026-9255 163:1<15 2011 163 605 https://doi.org/10.1007/s00605-009-0178-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-009-0178-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chen Xiaoyou School of Mathematical Sciences, Xiamen University, 361005, Xiamen, People's Republic of China aut NATIONALLICENCE 700 1- Zeng Jiwen School of Mathematical Sciences, Xiamen University, 361005, Xiamen, People's Republic of China aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 163/1(2011-05-01), 15-23 0026-9255 163:1<15 2011 163 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer