Guðlaugur then joined a group called Galdrakarlar & Wilma Reading (The Wizards & Wilma Reading) (1977). This band consisted of brass, keyboards, guitars, bass and drums. The band toured Iceland and gave around 30 concerts. Wilma Reading (vocals), was the group leader. She was an Australian singer and actress with roots in Broadway and Hollywood. Their music style was mainly jazz-oriented ith influences from George Gershwin, Louis Armstrong, Oscar Hammerstein II to Duke Ellington. The other members of Galdrakarlar & Wilma Reading, besides were: Birgir Einarsson (trumpet), Hlöðver Smári Haraldsson (keyboards), Hreiðar Sigurjónsson (clarinet and saxophone baritone), Pétur Hjálmarsson (electric bass), Sófus Jón Björnsson (drums) and Stefán Stefánsson (saxophone soprano and flute).