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A Theorem of Frobenius and Its Applications

The Frobenius Theorem states that if \(d\) is a divisor of the order of a finite group \(G\), then the number of solutions of \(x^d = 1\) in \(G\) is a multiple of \(d\). The article includes a proof and applications of the theorem.

Old Node ID: 
3458
MSC Codes: 
20-XX
Author(s): 
Anjana Khurana (Punjabi University) and Dinesh Khurana (Punjabi University)
Publication Date: 
Tuesday, March 23, 2010
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
June, 2005
Subject(s): 
Algebra and Number Theory
Abstract Algebra
Groups
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
182.00
Rating Sum: 
515.00
Rating Average: 
2.83
Applicable Course(s): 
4.2 Mod Algebra I & II
Modify Date: 
Tuesday, March 23, 2010
Average: 2.9 (182 votes)

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