Sahana A E Greetings & Welcome to Microsoft Q&A forum!
Can we create a common compute for the group of users or assign the single compute for multiple users?
AFAIK, A compute instance can't be shared with other users in your workspace.
See Manage an Azure Machine Learning compute instance for more details.
You use Azure Machine Learning compute targets, which can be shared among team members. Compute targets can be used for training models and running experiments.
Also, see Share models, components, and environments across workspaces with registries if that helps.
Do let me know if you have any further queries.