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:
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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