Geodesic
A Note on Derivations of Group Rings
Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 434-437

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DOI

Let RG denote the group ring of a group G over a semiprime ring R. We prove that, if the center of G is of finite index and some natural restrictions hold, then every R-derivation of RG is inner. We also give an example of a group G which is both locally finite and nilpotent and such that, for every field F, there exists an F-derivation of FG which is not inner.
DOI : 10.4153/CMB-1995-063-8
Mots-clés : 16W25, 16S34, 16N60 
Ferrero, Miguel; Giambruno, Antonio; Milies, César Polcino. A Note on Derivations of Group Rings. Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 434-437. doi: 10.4153/CMB-1995-063-8
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     author = {Ferrero, Miguel and Giambruno, Antonio and Milies, C\'esar Polcino},
     title = {A {Note} on {Derivations} of {Group} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {434--437},
     year = {1995},
     volume = {38},
     number = {4},
     doi = {10.4153/CMB-1995-063-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-063-8/}
}
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