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http://dx.doi.org/10.14403/jcms.2014.27.3.427

SIMPLICITY OF GROUPS OF EVEN ORDER

Choi, Minjung (Department of Mathematics Sookmyung Women's University)
Park, Seungkook (Department of Mathematics Sookmyung Women's University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.27, no.3, 2014 , pp. 427-431 More about this Journal

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.

Keywords

simple group; Mersenne prime;

Citations & Related Records

Reference

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