Solvable groups satisfying the two-prime hypothesis II

Mathematics – Group Theory

Scientific paper

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Scientific paper

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

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