maximality|mæksɪˈmælɪtɪ| [f. maximal a. + -ity.] The property of being maximal. 1964A. P. & W. Robertson Topological Vector Spaces i. 4 This would contradict the maximality of µ.1971D. Gorenstein in Powell & Higman Finite Simple Groups i. 102 But [Q1, Z]=Q1, so Q1=Q by the maximality of Q.