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Solvable Groups Satisfying the Two-Prime Hypothesis II

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Abstract

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| ≤ 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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Authors and Affiliations

  1. Shippensburg University, Shippensburg, PA, 17257, USA

    James Hamblin

  2. Department of Mathematical Sciences, Kent State University, Kent, OH, 44242, USA

    Mark L. Lewis

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  1. James Hamblin
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  2. Mark L. Lewis
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Correspondence to Mark L. Lewis.

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Hamblin, J., Lewis, M.L. Solvable Groups Satisfying the Two-Prime Hypothesis II. Algebr Represent Theor 15, 1099–1130 (2012). https://doi.org/10.1007/s10468-011-9281-7

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  • DOI: https://doi.org/10.1007/s10468-011-9281-7

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