Converse of lagrange's theorem (CLT) numbers under 1000

Document Type : Research Paper

Author

University of Oregon

Abstract

A positive integer $n$ is called a CLT number if every group of order $n$ satisfies the converse of Lagrange's Theorem‎. ‎In this note‎, ‎we find all CLT and supersolvable numbers up to $1000$‎. ‎We also formulate some questions about the distribution of these numbers‎.

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References

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History

  • Receive Date: 15 October 2015
  • Revise Date: 14 February 2016
  • Accept Date: 16 February 2016
  • Published Online: 01 June 2017

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