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Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic zero.
Bist, Vikas. "Group rings with FC-nilpotent unit groups.." Publicacions Matemàtiques 35.2 (1991): 461-463. <http://eudml.org/doc/41702>.
@article{Bist1991, abstract = {Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic zero.}, author = {Bist, Vikas}, journal = {Publicacions Matemàtiques}, keywords = {unit group; group algebra; -nilpotent}, language = {eng}, number = {2}, pages = {461-463}, title = {Group rings with FC-nilpotent unit groups.}, url = {http://eudml.org/doc/41702}, volume = {35}, year = {1991}, }
TY - JOUR AU - Bist, Vikas TI - Group rings with FC-nilpotent unit groups. JO - Publicacions Matemàtiques PY - 1991 VL - 35 IS - 2 SP - 461 EP - 463 AB - Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic zero. LA - eng KW - unit group; group algebra; -nilpotent UR - http://eudml.org/doc/41702 ER -