Solvable groups satisfying the two-prime hypothesis II

preprint2010arXivOpen access

Abstract

In this paper, we consider solvable groups that satisfy the two-prime hypothesis. We prove that if GG is such a group and GG has no nonabelian nilpotent quotients, then $|\cd G| \le 462,515$. Combining this result with the result from part I, we deduce that if GG is any such group, then the same bound holds.

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