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A Theorem of Frobenius and Its Applications
by Dinesh Khurana (Punjabi University) and Anjana Khurana (Punjabi University)
This article originally appeared in:Mathematics Magazine
June, 2005
Subject classification(s): Algebra and Number Theory | Abstract Algebra | Groups
Applicable Course(s): 4.2 Mod Algebra I & II
The Frobenius Theorem states that if d is a divisor of the order of a finite group G, then the number of solutions of xd = 1 in G is a multiple of d. The article includes a proof and applications of the theorem.
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