Type: Article
Publication Date: 1981-09-01
Citations: 7
DOI: https://doi.org/10.1216/rmj-1981-11-3-395
Let G be a finite group acting on a ring R. If A is a nonempty subset of G, define the map tr^: R -> R by tr^r) = E^r*.We say that G has a nontrivial partial trace on R if, for some A, 0 T^ trA(R) = R G , where R G denotes the subring of elements fixed under G.We show here that if G is any nonsolvable group, then there exists a commutative reduced ring R of characteristic 2 acted upon by G such that G has no nontrivial partial trace on R.
| Action | Title | Year | Authors |
|---|---|---|---|
| + | SOLVABILITY OF GROUPS OF ODD ORDER | 2012 |
Walter Feit John G. Thompson John G. Thompson |
| + | Trace functions for finite automorphism groups of rings | 1980 |
Miriam Cohen Susan Montgomery |