Dear Zabeeno,
This is in addition to what Mr. Umakanthan has said. He has recommended that you send the official communication to the HR Department. In your communication, just write the facts. To write the facts, you may include:
a) What was the incident? When did it happen, and where did it happen? Who is the primary party, and who is the second party of the incident?
b) Was there any violation of the laid rules, regulations, SOP, Executive Order, etc.? If yes, then include the exact details.
c) Do you have any material evidence of the incident? Material evidence means documents, CCTV footage, etc.
d) Are there any witnesses to the incident?
e) In your capacity as a supervisor, did you warn the delinquent employee? If yes, do you have evidence of the warning?
When the HOD or the supervisor provides complete information to the HR Department, depending on the gravity, they initiate the appropriate disciplinary action.
As far as your query was concerned, it has been replied to. Nevertheless, there is a larger issue. Please try to find out whether there is any flaw in the system, and this flaw creates fissures, and fissures, in turn, create conflict. Try to understand what the psychological orientation of this person is. Does this person lack interpersonal skills? Is this person unable to deal with the laziness or slackness of others?
Please note that while removing an employee because of his/her bad behavior, please consider what the quality of output of this person is. Take a comprehensive view.
Thanks,
Dinesh Divekar