CHARACTERIZATION OF FINITE p-GROUPS BY THE ORDER OF THEIR SCHUR MULTIPLIERS (t(G) = 7)

‎Let G be a finite p-group of order pn and‎ ‎|M(G)|=p1/2n(n−1)−t(G)‎, ‎where M(G)‎ ‎is the Schur multiplier of G and t(G) is a nonnegative integer‎. ‎The classification of such groups G is already known for t(G)≤‎‎6‎. ‎This paper extends the classification to t(G)=7.