by Charles Lanski
This article originally appeared in:
Mathematics Magazine
February, 2001
Subject classification(s):
Algebra and Number Theory | Abstract Algebra | GroupsApplicable Course(s):
4.2 Mod Algebra I & IIThe theorem, “An infinite group is cyclic when each of its nonidentity subgroups have finite index,” is proved and discussed, and a test to show groups are not cyclic is presented.
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