Local connectedness in topological groups

This paper gives several conditions sufficient for a topological group to be locally connected, locally path connected, or almost locally path connected. Structural theorems for non-locally connected groups arise, such as a limitation on the types of subspaces that can occur as somewhere dense subsets, and the meagerness of conjugacy classes in many instances. Improvements are given to certain open, or almost open, mapping theorems. New observations are made about the associated locally path connected topology of a topological group.