I recently completed a course project with some other students in my department. In this project, we discovered a few novel results that might be of interest to others in the field. I would like to revise and submit this project for publication (with the consent of my coauthors, of course).
The problem lies with one of the coauthors. The portion of the project that they wrote and sent to the rest of us was nonsensical. When reading their draft, it seemed as though they had not even read the reference material our project is based on. As a result, I and the remaining coauthors had to rewrite that portion from scratch, and the final report contains nothing written by that particular coauthor. (We left their name on the report since it was too late to change groups by the deadline.)
What should I do if we choose to publish these results? I worry that excluding the one coauthor might offend them if they saw the published paper. At worst, it might be considered academic dishonesty.