Instead of "an element of the group's set", mathematicians usually save words by saying "an element of the group".
ɪ n s t ɛ d WORD_BOUNDARY ə v ə n WORD_BOUNDARY ɛ l ɪ m ə n t WORD_BOUNDARY ʌ v ð ə WORD_BOUNDARY ɡ ɹ uː p s WORD_BOUNDARY s ɛ t WORD_BOUNDARY m æ θ ɪ m ʌ t ɪ ʃ ə n z WORD_BOUNDARY j uː ʒ uː ə l i WORD_BOUNDARY s eɪ v WORD_BOUNDARY w ɜː d z WORD_BOUNDARY b aɪ WORD_BOUNDARY s eɪ ɪ ŋ WORD_BOUNDARY ʌ n WORD_BOUNDARY ɛ l ɪ m ə n t WORD_BOUNDARY ʌ v ð ə WORD_BOUNDARY ɡ ɹ uː p WORD_BOUNDARY