On a p-local geometry associated with a complex of non-trivial p-subgroups

摘要

Let D be a complex of non-trivial p-subgroups of a finite group G, closed under G-conjugation. In this paper, a p-local geometry Delta(p)(G;D) is introduced for, G associated with the complex D. The homotopy equivalence, between Delta(p)(G;D) and D is also studied. [References: 6]