ON NON-ISOMORPHIC GROUPS WITH THE SAME SET OF ORDER COMPONENTS
ON NON-ISOMORPHIC GROUPS WITH THE SAME SET OF ORDER COMPONENTS
In this paper we will prove that the simple groups <TEX>$B_p(3)\;and\;G_p(3)$</TEX>, p an odd prime number, are 2-recognizable by the set of their order components. More precisely we will prove that if G is a finite group and OC(G) denotes the set of order components of G, then OC(G) = …