Arris T. Allen, the Annapolis physician who ran unsuccessfully for lieutenant governor of Maryland on the Republican ticket headed by J. Glenn Beall, has asked to be appointed to the General Assembly seat left vacant by the death of State Sen. Edward T. Hall.

Allen, who is also Maryland Republican party chairman, is competing for the seat with Annapolis Mayor John C. Apostol, Jo Ann Pratt, who ran unsuccessfully for Anne Arundel County register of wills, and several others.

Hall, a Calvert County Republican who served the district covering Calvert and much of Anne Arundel County for 20 years, died Nov. 13, one week after his election to a sixth four-year term.

In the case of such a vacancy, the governor is obliged to appoint a successor of the same party recommended to him by party officials. In this instance, the two county GOP committees may wind up submitting different names if they are unable to agree on a candidate.

Calvert County Republicans last Saturday selected Arthur Dowell, a 59-year-old Prince Frederick insurance agent, as their choice to succeed Hall. The Anne Arundel Republicans have decided to open up their selection process by holding a public hearing Nov. 30 to hear from all contenders.

Allen, 67, formerly served in the House of Delegates for two terms. Apostol, 39, has two years to go as mayor and, having been elected to two terms, cannot run again for that office.