Mathematics – Group Theory

Scientific paper

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2010-10-19

Mathematics

Group Theory

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.

**Hamblin James**

Mathematics – Commutative Algebra

Scientist

**Lewis Mark L.**

Mathematics – Group Theory

Scientist

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