Geodesic
Lie Solvable Group Rings
Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 748-757

Voir la notice de l'article provenant de la source Cambridge University Press

Let K[G] denote the group ring of G over the field K. One of the interesting problems which arises in the study of such rings is to find precisely when they satisfy polynomial identities. This has been solved for char K = 0 in [1] and for char K = p > 0 in [3]. The answer is as follows. If p > 0 we say that group A is p-abelian if A', the commutator subgroup of A, is a finite p-group. Moreover, for convenience, we say A is 0-abelian if and only if it is abelian. 
Passi, I. B. S.; Passman, D. S.; Sehgal, S. K. Lie Solvable Group Rings. Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 748-757. doi: 10.4153/CJM-1973-076-4
@article{10_4153_CJM_1973_076_4,
     author = {Passi, I. B. S. and Passman, D. S. and Sehgal, S. K.},
     title = {Lie {Solvable} {Group} {Rings}},
     journal = {Canadian journal of mathematics},
     pages = {748--757},
     year = {1973},
     volume = {25},
     number = {4},
     doi = {10.4153/CJM-1973-076-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-076-4/}
}
TY  - JOUR
AU  - Passi, I. B. S.
AU  - Passman, D. S.
AU  - Sehgal, S. K.
TI  - Lie Solvable Group Rings
JO  - Canadian journal of mathematics
PY  - 1973
SP  - 748
EP  - 757
VL  - 25
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-076-4/
DO  - 10.4153/CJM-1973-076-4
ID  - 10_4153_CJM_1973_076_4
ER  - 
%0 Journal Article
%A Passi, I. B. S.
%A Passman, D. S.
%A Sehgal, S. K.
%T Lie Solvable Group Rings
%J Canadian journal of mathematics
%D 1973
%P 748-757
%V 25
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-076-4/
%R 10.4153/CJM-1973-076-4
%F 10_4153_CJM_1973_076_4

[1] 1. Isaacs, I. M. and Passman, D. S., Groups with representations of bounded degree, Can. J. Math. 16 (1964), 299–309. Google Scholar

[2] 2. Passman, D. S., Infinite group rings (Marcel Dekker, New York, 1971). Google Scholar

[3] 3. Passman, D. S., Group rings satisfying a polynomial identity, J. Algebra 20 (1972), 103–117. Google Scholar

[4] 4. Passman, D. S., Group rings satisfying a polynomial identity. Ill, Proc. Amer. Math. Soc. 31 (1972), 87–90. Google Scholar

Cité par Sources :