Geodesic
Exponents of Identities of Group Rings
Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 643-651

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper, quantitative characteristics of identities of group algebras of finite groups are studied. A series of relations connecting the PI-exponents of identities with involution and Lie identities of the group algebra itself and of its Lie subalgebra of skew-symmetric elements are obtained.
Keywords: finite group, group ring, identity of a ring, Lie algebra, group algebra, PI-algebra, graded algebra, irreducible representation. 
@article{MZM_2011_89_5_a0,
     author = {O. E. Bezushchak and M. V. Zaitsev},
     title = {Exponents of {Identities} of {Group} {Rings}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {643--651},
     publisher = {mathdoc},
     volume = {89},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_5_a0/}
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O. E. Bezushchak; M. V. Zaitsev. Exponents of Identities of Group Rings. Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 643-651. http://geodesic.mathdoc.fr/item/MZM_2011_89_5_a0/