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On Groups of Order \(pq\)

Without appeal to the Sylow theorem, the authors prove that, if \(p\) and \(q\) are primes with \(q < p\) and \(q\) does not divide \(p - 1\), then any group of order \(pq\) is cyclic.

Old Node ID: 
1879
Author(s): 
Joseph A. Gallian (University of Minnesota, Duluth) and David Moulton (University of California, Berkeley)
Publication Date: 
Friday, June 6, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
October, 1995
Subject(s): 
Groups
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Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
16.00
Rating Sum: 
45.00
Rating Average: 
2.81
Author (old format): 
Joseph A. Gallian and David Moulton
Applicable Course(s): 
4.2 Mod Algebra I & II
Modify Date: 
Tuesday, July 22, 2008
Average: 2.8 (16 votes)

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