Co-Homological Dimension of Random Graph Groups

Introduced the homological algebra and presented some interesting basic properties of the notion.In this paper we extend the above notion to homology groups and tried to proof the some similar basic properties of the topological homolog groups. We also studied more about the random graph groups of the homology order to find necessary and sufficient conditions for which the hematology is discrete. We followed the analytical induction mathematical method and we found that studying homology groups may be more important than cohomology groups