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SIMPLICITY OF GROUPS OF EVEN ORDER

  • Choi, Minjung (Department of Mathematics Sookmyung Women's University) ;
  • Park, Seungkook (Department of Mathematics Sookmyung Women's University)
  • Received : 2014.04.22
  • Accepted : 2014.07.10
  • Published : 2014.08.15

Abstract

In this paper, we show that groups of order $2^npq$, where p, q are primes of the from $p=2^n-1$, $q=2^{n-1}+p$ with $n{\geq}3$, are not simple and groups of order $2^npq^t$ for $t{\geq}2$, where p, q are odd primes of the form $p=2^m-1$, $q=2^n-1$ with m < n, are not simple.

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References

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