REFERENCES
- Bass , H. ( 1968 ). Algebraic K-Theory . In: New York : Amsterdam : W. A. Benjamin .
- Berman , S. D. ( 1952 ). On the theory of representations of finite groups . Doklady Akad. Nauk SSSR 86 : 885 – 888 .
- Berman , S. D. ( 1958 ). Characters of linear representations of finite groups over an arbitrary field . Mat. Sb. 44 : 409 – 456 .
- Borevich , Z. I. , Shafarevich , I. R. ( 1966 ). Number theory . In: Pure and Applied Mathematics, Vol. 20 . New York : Academic Press .
- Curtis , C. W. , Reiner , I. ( 1981 ). Methods of representation theory, Vol. I . New York : Wiley-Interscience .
- Fritzsche , T. ( 2012 ). The Brauer group of character rings . J. Algebra 361 : 37 – 40 .
- Fritzsche , T. ( 2014 ). Der Darstellungstyp des Charakterrings einer endlichen Gruppe. Ph.D. thesis, Friedrich Schiller University, Jena .
- Higman , G. ( 1940 ). The units of group-rings , Proc. London Math. Soc. 46 231 – 248 .
- Isaacs , I. M. ( 1994 ). Character Theory of Finite Groups . New York : Dover .
- Jespers , E. , Milies , C. P. ( 1996 ). Units of group rings . J. Pure Appl. Algebra 107 : 233 – 251 .
- Karpilovsky , G. (1992). “Group representations”, In: Introduction to group representations and characters . Vol. 1. Part B. North-Holland Mathematics Studies 175, North-Holland , Amsterdam.
- Saksonov , A. I. ( 1966 ). The integral ring of characters of a finite group . Vesci Akad. Navuk BSSR Ser. Fiz.-Mat. Navuk 1966 : 69 – 76 .
- Szymik , M. ( 2010 ). The Brauer group of Burnside rings . J. Algebra 324 : 2589 – 2593 .
- Yamauchi , K. ( 1991 ). A unit group in a character ring of an alternating group . Hokkaido Math. J. 20 : 549 – 558 .
- Yamauchi , K. ( 1993 ). A unit group in a character ring of an alternating group, II . Hokkaido Math. J. 22 : 13 – 23 .
- Yamauchi , K. ( 2005 ). The construction of units of infinite order in the character ring of a finite group . Yokohama Math. J. 51 : 89 – 97 .
- Communicated by A. Turull.