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Simplicity of groups of even orderSimplicity of groups of even order

Other Titles
Simplicity of groups of even order
Authors
Minjung Choi박승국
Issue Date
Aug-2014
Publisher
충청수학회
Keywords
simple group; Mersenne prime
Citation
충청수학회지, v.27, no.3, pp 427 - 431
Pages
5
Journal Title
충청수학회지
Volume
27
Number
3
Start Page
427
End Page
431
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/5903
DOI
10.14403/jcms.2014.27.3.427
ISSN
1226-3524
2383-6245
Abstract
In this paper, we show that groups of order 2npq, where p, q are primes of the from p = 2n - 1, q = 2n-1 + p with n ≥ 3, are not simple and groups of order 2npqt for t ≥ 2, where p, q are odd primes of the form p = 2m ¡-1, q = 2n -1 with m < n, are not simple.
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