IDEMPOTENTS IN MATRIX GROUP-RINGS

[摘要] It is proved that if E is an idempotent matrix with entries in the group algebra KG of a group G of finite cohomological dimension over a field K of characteristic zero, then the partial augmentations of the trace of E corresponding to the elements of infinite order are all zero, provided G contains a free Abelian subgroup of rank cd(K)G - 1 in its centre.

[发布日期] 1994-07-08