Center for Communications Research, 4320 Westerra Court, San Diego, California 92121
Abstract:
If is a finite group and is an algebraically closed field of characteristic , then this paper uses the local subgroup structure of to define a category that is equivalent to the stable category of all left -modules modulo projectives. A subcategory of equivalent to the stable category of finitely generated -modules is also identified. The definition of depends largely but not exclusively upon local data; one condition on the objects involves compatibility with respect to conjugations by arbitrary group elements rather than just elements of -local subgroups.