On the semisimplicity of group rings of solvable groups
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- by C. R. Hampton and D. S. Passman PDF
- Trans. Amer. Math. Soc. 173 (1972), 289-301 Request permission
Abstract:
Let $K[G]$ denote the group ring of $G$ over the field $K$ of characteristic $p > 0$. An interesting unsolved problem is to find necessary and sufficient conditions on $G$ for $K[G]$ to be semisimple. Even the special case in which $G$ is assumed to be a solvable group is still open. In this paper we prove a number of theorems which may be of use in this special case.References
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- D. S. Passman, Some isolated subsets of infinite solvable groups, Pacific J. Math. 45 (1973), 313–319. MR 323883, DOI 10.2140/pjm.1973.45.313 A. E. Zalesskiĭ, On group rings of solvable groups , Izv. Akad. Nauk BSSR 2 (1970), 13-21. (Russian)
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 173 (1972), 289-301
- MSC: Primary 20C05
- DOI: https://doi.org/10.1090/S0002-9947-1972-0323882-8
- MathSciNet review: 0323882