ðə dˌɛfɪnˈɪʃənz ɑːɹ vˈælɪd ˈiːvən ɪf ˈɛf ɔːɹ dʒˈiː ɪz ˈɪnfɪnət, ðˌoʊ dˈaʊlɪŋ mˈɛnʃənd ˈoʊnli fˈaɪnaɪt fˈiːldz ænd ɡɹˈuːps.
The definitions are valid even if F or G is infinite, though Dowling mentioned only finite fields and groups.