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Finite groups of global breadth four in the sense of Frobenius

ABSTRACT Let G be a finite group and e a positive integer dividing |G|, the order of G. The size of the set was studied originally by G. Frobenius, in order to find restrictions on the structure of G. Heineken and Russo [4] introduced as global breadth in the sense of Frobenius. In this paper, we investigate the groups G with B(G) = 4.