Avraham (Avi) Shmuel Grogan was born on September 11, 1959 in Phoenix, AZ to Pearl and Yosef Menachem (George). His Jewish education was attained in Phoenix, Los Angeles, Gateshead and at the Brisk Yeshiva in Chicago.
After spending a year at Yeshivat Ohr Sameach in Jerusalem in 1979, Avi made aliya on August 19, 1980 and began studying at the ulpan in Kibbutz Sde Eliahu in the Bet Shean Valley. After completing his studies he moved to nearby Kibbutz Shluchot.
He was drafted in July 1981 and served in the Golani Brigade as a medic. That same year he visited his parents in the US but when the Peace for Galilee War broke out in June 1982 he returned to Israel and joined his unit in Lebanon.
On August 4, 1982 he was killed in an artillery barrage at Bourge al Brejna, south of Beirut, while providing first aid to his fellow soldiers. He was buried in the military cemetery on Mt. Herzl in Jerusalem.